Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bf |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
2096133651180800 = 28 · 52 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69320,6670540] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2662:1] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
4.8967513222293 |
L(r)(E,1)/r! |
Ω |
0.45726490337008 |
Real period |
R |
0.76491318054366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7700f1 123200dv1 30800cv1 |
Quadratic twists by: -4 8 5 |