Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325i |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
43200000 |
Modular degree for the optimal curve |
Δ |
2.2230683438064E+25 |
Discriminant |
Eigenvalues |
0 -3 5+ 4 -2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71297500,47257438281] |
[a1,a2,a3,a4,a6] |
Generators |
[377283:36016415:27] |
Generators of the group modulo torsion |
j |
87241870540800/48387275053 |
j-invariant |
L |
4.0893748133188 |
L(r)(E,1)/r! |
Ω |
0.058796533847409 |
Real period |
R |
6.9551290289003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325n1 6175b1 |
Quadratic twists by: 5 -19 |