Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
71100u |
Isogeny class |
Conductor |
71100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
1079831250000 = 24 · 37 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30000,-1999375] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:18:1] [-100:25:1] |
Generators of the group modulo torsion |
j |
655360000/237 |
j-invariant |
L |
10.20276437408 |
L(r)(E,1)/r! |
Ω |
0.36276774589773 |
Real period |
R |
1.562487981397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700h1 71100f1 |
Quadratic twists by: -3 5 |