Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ir |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
1.6036408236464E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13- 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5913713,-5191590769] |
[a1,a2,a3,a4,a6] |
Generators |
[-1281:17488:1] |
Generators of the group modulo torsion |
j |
129551972799025/9083363328 |
j-invariant |
L |
8.6974686713392 |
L(r)(E,1)/r! |
Ω |
0.097240785094008 |
Real period |
R |
1.7200500017724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550eh1 95550kj1 |
Quadratic twists by: 5 -7 |