Atkin-Lehner |
2- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248x |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
3559909413093376 = 235 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- 2 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41504,1519604] |
[a1,a2,a3,a4,a6] |
Generators |
[-26180:129238:125] |
Generators of the group modulo torsion |
j |
1930385697873697/869118509056 |
j-invariant |
L |
10.867849053938 |
L(r)(E,1)/r! |
Ω |
0.3987638488052 |
Real period |
R |
6.8134618290501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906h1 |
Quadratic twists by: -4 |