Atkin-Lehner |
3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725be |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
825600 |
Modular degree for the optimal curve |
Δ |
-132219536741015625 = -1 · 37 · 58 · 115 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 3 11- 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-892242,325088041] |
[a1,a2,a3,a4,a6] |
Generators |
[744:8153:1] |
Generators of the group modulo torsion |
j |
-275857255412545/464310033 |
j-invariant |
L |
9.0656320437875 |
L(r)(E,1)/r! |
Ω |
0.32868449222051 |
Real period |
R |
0.45969271732883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25575f1 76725z1 |
Quadratic twists by: -3 5 |