Atkin-Lehner |
2- 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688h |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-5700190633984 = -1 · 215 · 7 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12323,538914] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:944:1] |
Generators of the group modulo torsion |
j |
-50525789641209/1391648104 |
j-invariant |
L |
4.2708754698869 |
L(r)(E,1)/r! |
Ω |
0.75743672149224 |
Real period |
R |
0.23494126904148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9086a1 |
Quadratic twists by: -4 |