Atkin-Lehner |
2- 3+ 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42636c |
Isogeny class |
Conductor |
42636 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
626400 |
Modular degree for the optimal curve |
Δ |
-770666605913850624 = -1 · 28 · 325 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 11- 7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51723,41976225] |
[a1,a2,a3,a4,a6] |
Generators |
[3436174042399400:-95363785774255175:7526079089173] |
Generators of the group modulo torsion |
j |
59775947662426112/3010416429350979 |
j-invariant |
L |
5.6943916529675 |
L(r)(E,1)/r! |
Ω |
0.21557056165791 |
Real period |
R |
26.415441928494 |
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 |
127908e1 |
Quadratic twists by: -3 |