Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7812i |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-10389189282172848 = -1 · 24 · 315 · 72 · 314 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38868,3917905] |
[a1,a2,a3,a4,a6] |
j |
556740459216896/890705528307 |
j-invariant |
L |
1.662455026224 |
L(r)(E,1)/r! |
Ω |
0.27707583770399 |
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 |
31248bu1 124992cy1 2604e1 54684v1 |
Quadratic twists by: -4 8 -3 -7 |