Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630p |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156764160 |
Modular degree for the optimal curve |
Δ |
5.6552816206661E+31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24032635477,1387598270974189] |
[a1,a2,a3,a4,a6] |
Generators |
[153629571723942360334029914920696405412233706987551644497856102:108378287714090367135246282154061594667709430490400102823283733429:4438139371056669337633153756166986095320951208735188119343] |
Generators of the group modulo torsion |
j |
5434348796727413981963421289/200204500772599833680640 |
j-invariant |
L |
3.8915340281131 |
L(r)(E,1)/r! |
Ω |
0.019691823056211 |
Real period |
R |
98.8109129613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fc1 42630bd1 |
Quadratic twists by: -3 -7 |