Atkin-Lehner |
2- 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376m |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-132204529188864 = -1 · 226 · 35 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11296,-717056] |
[a1,a2,a3,a4,a6] |
j |
-38920307374369/32276496384 |
j-invariant |
L |
0.89471206392199 |
L(r)(E,1)/r! |
Ω |
0.22367801597467 |
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 |
4422n1 106128br1 |
Quadratic twists by: -4 -3 |