Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088j |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-776925416448 = -1 · 210 · 37 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2131,19827] |
[a1,a2,a3,a4,a6] |
Generators |
[22:279:1] |
Generators of the group modulo torsion |
j |
1044648753152/758716227 |
j-invariant |
L |
6.8430553876775 |
L(r)(E,1)/r! |
Ω |
0.57069271215348 |
Real period |
R |
0.85648486928782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999504103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088y1 14136c1 |
Quadratic twists by: -4 8 |