Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530a |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24634368 |
Modular degree for the optimal curve |
Δ |
1.911367800786E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82560238,-197835384908] |
[a1,a2,a3,a4,a6] |
Generators |
[85668890031191989795228:1311163430171487339024658:8382115367343001549] |
Generators of the group modulo torsion |
j |
26393826811385210939/8106065321472000 |
j-invariant |
L |
3.414892996813 |
L(r)(E,1)/r! |
Ω |
0.051283829579162 |
Real period |
R |
33.294051886324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112530bk1 |
Quadratic twists by: -11 |