Atkin-Lehner |
2- 3- 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
127368g |
Isogeny class |
Conductor |
127368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150016 |
Modular degree for the optimal curve |
Δ |
-3775951728 = -1 · 24 · 37 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- -4 5 3 1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,3035] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:61:1] |
Generators of the group modulo torsion |
j |
-30118144/323727 |
j-invariant |
L |
7.6889071003231 |
L(r)(E,1)/r! |
Ω |
1.1904136527679 |
Real period |
R |
0.80737765025455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42456c1 |
Quadratic twists by: -3 |