Atkin-Lehner |
2+ 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192m |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
254976 |
Modular degree for the optimal curve |
Δ |
-171812574296064 = -1 · 211 · 37 · 132 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 0 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,-631334] |
[a1,a2,a3,a4,a6] |
Generators |
[95:234:1] |
Generators of the group modulo torsion |
j |
-434163602/115079367 |
j-invariant |
L |
6.9866782735185 |
L(r)(E,1)/r! |
Ω |
0.25566626545623 |
Real period |
R |
1.7079585806862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57096o1 38064m1 |
Quadratic twists by: -4 -3 |