Atkin-Lehner |
2- 3- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
62568f |
Isogeny class |
Conductor |
62568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-187579382563584 = -1 · 28 · 36 · 115 · 792 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11+ -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1956,-659788] |
[a1,a2,a3,a4,a6] |
Generators |
[85576:982523:512] |
Generators of the group modulo torsion |
j |
-4434684928/1005119291 |
j-invariant |
L |
7.5044310460803 |
L(r)(E,1)/r! |
Ω |
0.25345144534219 |
Real period |
R |
7.4022373751614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136f1 6952a1 |
Quadratic twists by: -4 -3 |