Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574bp |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-13978127394 = -1 · 2 · 37 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,146,-5587] |
[a1,a2,a3,a4,a6] |
j |
107653/4374 |
j-invariant |
L |
3.6117127105695 |
L(r)(E,1)/r! |
Ω |
0.60195211842628 |
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 |
106722bl1 35574ct1 35574c1 |
Quadratic twists by: -3 -7 -11 |