Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075x |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
123840 |
Modular degree for the optimal curve |
Δ |
-3039873046875 = -1 · 36 · 510 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,83916] |
[a1,a2,a3,a4,a6] |
Generators |
[774:7497:8] |
Generators of the group modulo torsion |
j |
-25/427 |
j-invariant |
L |
6.5788879251638 |
L(r)(E,1)/r! |
Ω |
0.63977176555849 |
Real period |
R |
5.1415897690025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10675e1 96075cj1 |
Quadratic twists by: -3 5 |