Atkin-Lehner |
2+ 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238ba |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-43257227599872 = -1 · 213 · 36 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11+ 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117216,-15420416] |
[a1,a2,a3,a4,a6] |
j |
-244319965770456577/59337760768 |
j-invariant |
L |
0.7740472892719 |
L(r)(E,1)/r! |
Ω |
0.12900790821353 |
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 |
10582n1 |
Quadratic twists by: -3 |