Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
93492f |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
3563753859792 = 24 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,-45619] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:196:1] |
Generators of the group modulo torsion |
j |
114688/53 |
j-invariant |
L |
6.378065586839 |
L(r)(E,1)/r! |
Ω |
0.62302547634374 |
Real period |
R |
1.7062078056949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388b1 93492o1 |
Quadratic twists by: -3 -7 |