Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
310b |
Isogeny class |
Conductor |
310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-3174400 = -1 · 212 · 52 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106,420] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:30:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
1.64151219334 |
L(r)(E,1)/r! |
Ω |
2.5186376495062 |
Real period |
R |
0.97761910709654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
2480i1 9920o1 2790m1 1550d1 |
Quadratic twists by: -4 8 -3 5 |