Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306l |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1427479553024 = 210 · 76 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11573,478645] |
[a1,a2,a3,a4,a6] |
Generators |
[9:608:1] [366:1483:8] |
Generators of the group modulo torsion |
j |
1457117049753/12133376 |
j-invariant |
L |
6.6579324637494 |
L(r)(E,1)/r! |
Ω |
0.8568030170441 |
Real period |
R |
3.8853343950223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394b1 |
Quadratic twists by: -7 |