Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dk |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
75663013125000000 = 26 · 3 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105758,275988] |
[a1,a2,a3,a4,a6] |
Generators |
[-8826:4166:27] |
Generators of the group modulo torsion |
j |
3241792/1875 |
j-invariant |
L |
9.32115183017 |
L(r)(E,1)/r! |
Ω |
0.29171265616874 |
Real period |
R |
7.9882991122139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600fk1 23520bn1 117600bd1 |
Quadratic twists by: -4 5 -7 |