Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220ba |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-992847100345200 = -1 · 24 · 36 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49197,4465289] |
[a1,a2,a3,a4,a6] |
Generators |
[128:515:1] |
Generators of the group modulo torsion |
j |
-7626496/575 |
j-invariant |
L |
8.0565503056741 |
L(r)(E,1)/r! |
Ω |
0.48494811845124 |
Real period |
R |
4.1533052718568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580c1 4140d1 |
Quadratic twists by: -3 -23 |