Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
3975l |
Isogeny class |
Conductor |
3975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
1676953125 = 34 · 58 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -3 3 -2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4931333,-4216615381] |
[a1,a2,a3,a4,a6] |
Generators |
[-934893:-352:729] |
Generators of the group modulo torsion |
j |
33951327224426659840/4293 |
j-invariant |
L |
3.3287040047343 |
L(r)(E,1)/r! |
Ω |
0.1013114345135 |
Real period |
R |
2.7380127596314 |
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 |
63600ck1 11925x1 3975b1 |
Quadratic twists by: -4 -3 5 |