Atkin-Lehner |
3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635bj |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-138880811716171875 = -1 · 38 · 57 · 78 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 6 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-882147,319407345] |
[a1,a2,a3,a4,a6] |
j |
-885178441732096/1619296875 |
j-invariant |
L |
9.1715644455052 |
L(r)(E,1)/r! |
Ω |
0.32755586019555 |
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 |
34545s1 14805f1 |
Quadratic twists by: -3 -7 |