Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29584k |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
8.8520631555212E+19 |
Discriminant |
Eigenvalues |
2- 1 1 3 0 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1139600,-120164524] |
[a1,a2,a3,a4,a6] |
Generators |
[-12247730:34353992:12167] |
Generators of the group modulo torsion |
j |
1849 |
j-invariant |
L |
7.5479118733132 |
L(r)(E,1)/r! |
Ω |
0.15571062410633 |
Real period |
R |
12.118492101346 |
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 |
1849c1 118336bh1 29584i1 |
Quadratic twists by: -4 8 -43 |