Atkin-Lehner |
2+ 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88102c |
Isogeny class |
Conductor |
88102 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
400087198080905216 = 212 · 76 · 29 · 315 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 4 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3443452,-2459554758] |
[a1,a2,a3,a4,a6] |
Generators |
[-134355:115723:125] |
Generators of the group modulo torsion |
j |
38381097689522696233/3400685072384 |
j-invariant |
L |
4.097765803876 |
L(r)(E,1)/r! |
Ω |
0.11082898868859 |
Real period |
R |
1.8486886195938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798a1 |
Quadratic twists by: -7 |