Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cx |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
1.14402475845E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12505208,17009028588] |
[a1,a2,a3,a4,a6] |
Generators |
[-490045:9516786:125] |
Generators of the group modulo torsion |
j |
153125000/81 |
j-invariant |
L |
8.1958322898372 |
L(r)(E,1)/r! |
Ω |
0.1846657523559 |
Real period |
R |
11.095495749776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600r1 117600fw1 117600d1 |
Quadratic twists by: -4 5 -7 |