Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35112o |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-5182319287563264 = -1 · 210 · 35 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29744,3996732] |
[a1,a2,a3,a4,a6] |
j |
-2842081147249348/5060858679261 |
j-invariant |
L |
2.3087220369963 |
L(r)(E,1)/r! |
Ω |
0.3847870061661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224w1 105336o1 |
Quadratic twists by: -4 -3 |