Atkin-Lehner |
2- 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540a |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
361536684604278480 = 24 · 38 · 5 · 114 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-287581,51928690] |
[a1,a2,a3,a4,a6] |
j |
164393941520365256704/22596042787767405 |
j-invariant |
L |
0.58140388954812 |
L(r)(E,1)/r! |
Ω |
0.29070194477406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160by1 37620m1 62700v1 |
Quadratic twists by: -4 -3 5 |