Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504o |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
35236944 = 24 · 37 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9066,-332255] |
[a1,a2,a3,a4,a6] |
Generators |
[-92676129:325480:1685159] |
Generators of the group modulo torsion |
j |
7065181861888/3021 |
j-invariant |
L |
5.2140394136488 |
L(r)(E,1)/r! |
Ω |
0.4892666762376 |
Real period |
R |
10.656845574336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168v1 |
Quadratic twists by: -3 |