Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482bt |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
135364608 |
Modular degree for the optimal curve |
Δ |
1.9302149178619E+27 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5740706452,167401853833106] |
[a1,a2,a3,a4,a6] |
Generators |
[44272:130670:1] |
Generators of the group modulo torsion |
j |
177840836302467548407436408233/16406556093650659442688 |
j-invariant |
L |
6.1420083686846 |
L(r)(E,1)/r! |
Ω |
0.044715652638848 |
Real period |
R |
2.8616043859795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926a1 |
Quadratic twists by: -7 |