Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635a |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-408232838671875 = -1 · 33 · 58 · 77 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -1 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-66935568,210782010773] |
[a1,a2,a3,a4,a6] |
Generators |
[127407:15299:27] |
Generators of the group modulo torsion |
j |
-10441011330958888009728/128515625 |
j-invariant |
L |
3.6872403368981 |
L(r)(E,1)/r! |
Ω |
0.26905533321226 |
Real period |
R |
0.85652463648832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635e1 14805b1 |
Quadratic twists by: -3 -7 |