Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120ci |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
1979819269120000 = 213 · 54 · 74 · 115 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 11- -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31507,225106] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:-33880:1] [-175:616:1] |
Generators of the group modulo torsion |
j |
351716516361/201313750 |
j-invariant |
L |
6.3420497042908 |
L(r)(E,1)/r! |
Ω |
0.39936551662026 |
Real period |
R |
0.066167973952388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390k1 43120bz1 |
Quadratic twists by: -4 -7 |