Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635s |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1224720 |
Modular degree for the optimal curve |
Δ |
7873061888671875 = 36 · 59 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -3 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1566000,-753882039] |
[a1,a2,a3,a4,a6] |
j |
4952031207028849/91796875 |
j-invariant |
L |
1.2146321823436 |
L(r)(E,1)/r! |
Ω |
0.13495907261429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515j1 2115g1 |
Quadratic twists by: -3 -7 |