Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cv |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-8.8239978766234E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1562267,1614769226] |
[a1,a2,a3,a4,a6] |
Generators |
[445:31744:1] |
Generators of the group modulo torsion |
j |
-875066990644449/1831121689600 |
j-invariant |
L |
6.8406431478619 |
L(r)(E,1)/r! |
Ω |
0.14031378189415 |
Real period |
R |
2.0313528354351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999693458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bc1 17360w1 |
Quadratic twists by: -4 -7 |