Atkin-Lehner |
3- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15351g |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
-17822511 = -1 · 34 · 7 · 17 · 432 |
Discriminant |
Eigenvalues |
1 3- -2 7- 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127,-595] |
[a1,a2,a3,a4,a6] |
j |
-223980311017/17822511 |
j-invariant |
L |
1.4170421407332 |
L(r)(E,1)/r! |
Ω |
0.7085210703666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46053h1 107457d1 |
Quadratic twists by: -3 -7 |