Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95370l |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-1693404979200 = -1 · 213 · 32 · 52 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2162,-48332] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-2:1] |
Generators of the group modulo torsion |
j |
13371532631/20275200 |
j-invariant |
L |
4.7941864677638 |
L(r)(E,1)/r! |
Ω |
0.44463144032086 |
Real period |
R |
2.6955957399374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370bm1 |
Quadratic twists by: 17 |