Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840q |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-30715200 = -1 · 26 · 35 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,342] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] |
Generators of the group modulo torsion |
j |
-379503424/479925 |
j-invariant |
L |
6.0492549308559 |
L(r)(E,1)/r! |
Ω |
1.8862729835467 |
Real period |
R |
1.6034940282564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840be1 37920o1 |
Quadratic twists by: -4 8 |