Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264v |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-17932243304448 = -1 · 217 · 37 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3393,216351] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:495:1] [-21:528:1] |
Generators of the group modulo torsion |
j |
-32968057250/136812159 |
j-invariant |
L |
13.127228182554 |
L(r)(E,1)/r! |
Ω |
0.60176117244037 |
Real period |
R |
0.25969858665703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bd1 12408b1 |
Quadratic twists by: -4 8 |