Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bg |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45120 |
Modular degree for the optimal curve |
Δ |
914608128 = 212 · 3 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -3 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,813] |
[a1,a2,a3,a4,a6] |
Generators |
[84:125:27] |
Generators of the group modulo torsion |
j |
200704/93 |
j-invariant |
L |
6.9445029336195 |
L(r)(E,1)/r! |
Ω |
1.4075061076647 |
Real period |
R |
4.9339060734691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557i1 72912cr1 |
Quadratic twists by: -4 -7 |