Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360cr |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-132300800 = -1 · 214 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1445,-20675] |
[a1,a2,a3,a4,a6] |
Generators |
[6420:97435:27] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
5.3819006708172 |
L(r)(E,1)/r! |
Ω |
0.38713927495988 |
Real period |
R |
6.950858540033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bf1 25840c1 |
Quadratic twists by: -4 8 |