Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925c |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
31376953125 = 33 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3333,74693] |
[a1,a2,a3,a4,a6] |
j |
419430400/3213 |
j-invariant |
L |
1.177915963635 |
L(r)(E,1)/r! |
Ω |
1.177915963635 |
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 |
26775s1 8925bb1 62475bq1 |
Quadratic twists by: -3 5 -7 |