Atkin-Lehner |
3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38325h |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2970240 |
Modular degree for the optimal curve |
Δ |
6.1900738574395E+20 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28841138,-59616529594] |
[a1,a2,a3,a4,a6] |
Generators |
[2852007221516531327052542336:-512908019072524190696969513882:86194443261618883081171] |
Generators of the group modulo torsion |
j |
1358409942974674024973/316931781500901 |
j-invariant |
L |
2.6980034451462 |
L(r)(E,1)/r! |
Ω |
0.065148217391406 |
Real period |
R |
41.413311878328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114975bo1 38325o1 |
Quadratic twists by: -3 5 |