Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7900c |
Isogeny class |
Conductor |
7900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
316000000 = 28 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 -6 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-250] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:116:27] |
Generators of the group modulo torsion |
j |
148176/79 |
j-invariant |
L |
6.6472693293187 |
L(r)(E,1)/r! |
Ω |
1.395108414634 |
Real period |
R |
4.7646973235858 |
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 |
31600j1 126400z1 71100q1 316b1 |
Quadratic twists by: -4 8 -3 5 |