Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
23904k |
Isogeny class |
Conductor |
23904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
2108791900224 = 26 · 314 · 832 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20181,-1101260] |
[a1,a2,a3,a4,a6] |
Generators |
[231484:1072620:1331] |
Generators of the group modulo torsion |
j |
19482480805312/45198729 |
j-invariant |
L |
3.7024451923527 |
L(r)(E,1)/r! |
Ω |
0.40061243532188 |
Real period |
R |
9.2419627198489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23904r1 47808m2 7968g1 |
Quadratic twists by: -4 8 -3 |