Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700bi |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
2712702781250000 = 24 · 59 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242000,45753125] |
[a1,a2,a3,a4,a6] |
Generators |
[451:5324:1] |
Generators of the group modulo torsion |
j |
28311552/49 |
j-invariant |
L |
6.2680373854508 |
L(r)(E,1)/r! |
Ω |
0.45450662548508 |
Real period |
R |
3.4477150803427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84700z1 700e1 |
Quadratic twists by: 5 -11 |