Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87616i |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
1555363874947072 = 214 · 377 |
Discriminant |
Eigenvalues |
2+ 1 -4 -3 -5 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29205,-309901] |
[a1,a2,a3,a4,a6] |
Generators |
[-1230:26011:27] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
2.9930652728582 |
L(r)(E,1)/r! |
Ω |
0.3934975779912 |
Real period |
R |
3.8031559010448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87616bh1 5476a1 2368b1 |
Quadratic twists by: -4 8 37 |