Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220v |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3547897200 = -1 · 24 · 36 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3657,85169] |
[a1,a2,a3,a4,a6] |
Generators |
[23:115:1] |
Generators of the group modulo torsion |
j |
-38112512/25 |
j-invariant |
L |
8.4207617077144 |
L(r)(E,1)/r! |
Ω |
1.3911057205271 |
Real period |
R |
0.50444055504055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580b1 95220h1 |
Quadratic twists by: -3 -23 |