Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992by |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6966850093056 = -1 · 221 · 37 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -5 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-126992] |
[a1,a2,a3,a4,a6] |
Generators |
[254:4032:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
7.8081955327485 |
L(r)(E,1)/r! |
Ω |
0.34239243730663 |
Real period |
R |
0.71265040594318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992fs1 3906f1 41664bq1 |
Quadratic twists by: -4 8 -3 |