Atkin-Lehner |
5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715n |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
9510912 |
Modular degree for the optimal curve |
Δ |
-8.3738540017165E+22 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29542762,63341598111] |
[a1,a2,a3,a4,a6] |
j |
-24237553587788779377049/711765846009439375 |
j-invariant |
L |
5.1642670280132 |
L(r)(E,1)/r! |
Ω |
0.10758889708571 |
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 |
14245a1 |
Quadratic twists by: -7 |