Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976co |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2543787627644403712 = -1 · 214 · 114 · 139 |
Discriminant |
Eigenvalues |
2- 0 0 -4 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307580,100991696] |
[a1,a2,a3,a4,a6] |
Generators |
[9125:870111:1] |
Generators of the group modulo torsion |
j |
-18522000/14641 |
j-invariant |
L |
3.1793108509016 |
L(r)(E,1)/r! |
Ω |
0.2357878609821 |
Real period |
R |
6.7418881924151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000186083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118976bq2 29744bh2 118976dp2 |
Quadratic twists by: -4 8 13 |