Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200y |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-385786800000000 = -1 · 210 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70875,7323750] |
[a1,a2,a3,a4,a6] |
Generators |
[471:8856:1] |
Generators of the group modulo torsion |
j |
-102060 |
j-invariant |
L |
7.3745809629155 |
L(r)(E,1)/r! |
Ω |
0.5371178536597 |
Real period |
R |
3.4324780447445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200ff1 88200eu1 88200v1 |
Quadratic twists by: -3 5 -7 |