Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5046a |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-4828861374436224 = -1 · 27 · 37 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,3342996] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4494:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
2.3839758014874 |
L(r)(E,1)/r! |
Ω |
0.34535692501918 |
Real period |
R |
1.7257333129739 |
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 |
40368bf1 15138t1 126150cr1 174b1 |
Quadratic twists by: -4 -3 5 29 |