Atkin-Lehner |
2+ 3+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222d |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
434560 |
Modular degree for the optimal curve |
Δ |
-2.0741831366732E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 -1 0 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99961,692982853] |
[a1,a2,a3,a4,a6] |
Generators |
[-37105:3317723:125] |
Generators of the group modulo torsion |
j |
-110464384477988727577/207418313667319629984 |
j-invariant |
L |
3.7493187384201 |
L(r)(E,1)/r! |
Ω |
0.14325940145018 |
Real period |
R |
0.93469775318324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73776x1 27666j1 |
Quadratic twists by: -4 -3 |