Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150bo |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-6.6884318947029E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4312188,-3470814219] |
[a1,a2,a3,a4,a6] |
Generators |
[1509510625:33328749369:571787] |
Generators of the group modulo torsion |
j |
-567540361467601918201/4280596412609880 |
j-invariant |
L |
9.1843265045018 |
L(r)(E,1)/r! |
Ω |
0.052359987237979 |
Real period |
R |
14.617279002823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230t1 |
Quadratic twists by: 5 |