Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960be |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
14434280806993920 = 212 · 32 · 5 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1103141,446289165] |
[a1,a2,a3,a4,a6] |
Generators |
[28676:413607:64] |
Generators of the group modulo torsion |
j |
462843904/45 |
j-invariant |
L |
6.1895388708489 |
L(r)(E,1)/r! |
Ω |
0.37855922393095 |
Real period |
R |
8.1751260782729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000167043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7935f1 126960bx1 |
Quadratic twists by: -4 -23 |