Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65596a |
Isogeny class |
Conductor |
65596 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-73425800944 = -1 · 24 · 236 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 -6 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8993,328509] |
[a1,a2,a3,a4,a6] |
Generators |
[92:529:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
2.4274798090685 |
L(r)(E,1)/r! |
Ω |
1.085085653475 |
Real period |
R |
1.1185659864634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124b1 |
Quadratic twists by: -23 |