Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960u |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-29304582278400000 = -1 · 211 · 37 · 55 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71283,11022482] |
[a1,a2,a3,a4,a6] |
j |
-26830214120162/19628090625 |
j-invariant |
L |
1.3716646229127 |
L(r)(E,1)/r! |
Ω |
0.3429161014804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51480j1 34320j1 |
Quadratic twists by: -4 -3 |