Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350v |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1192320 |
Modular degree for the optimal curve |
Δ |
-1141774165396980000 = -1 · 25 · 36 · 54 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -1 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,158425,45386325] |
[a1,a2,a3,a4,a6] |
Generators |
[30145:1220407:125] |
Generators of the group modulo torsion |
j |
8984375/23328 |
j-invariant |
L |
4.5152162242306 |
L(r)(E,1)/r! |
Ω |
0.19225196662354 |
Real period |
R |
3.9143216609692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350dm1 79350w1 |
Quadratic twists by: 5 -23 |