Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710z |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3753600 |
Modular degree for the optimal curve |
Δ |
-1.4362524414062E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 -3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,596014,-43310684] |
[a1,a2,a3,a4,a6] |
Generators |
[88:3090:1] |
Generators of the group modulo torsion |
j |
138549941095333832519/84985351562500000 |
j-invariant |
L |
7.5174686670009 |
L(r)(E,1)/r! |
Ω |
0.12869727011443 |
Real period |
R |
5.8412028744439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710m1 |
Quadratic twists by: 13 |