Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192k |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-7.4175930298987E+19 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11- -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2762712,-1816312720] |
[a1,a2,a3,a4,a6] |
Generators |
[19157780096091365495:462693667494952935250:8680470295923413] |
Generators of the group modulo torsion |
j |
-5312014819826/168962983 |
j-invariant |
L |
8.7949624141507 |
L(r)(E,1)/r! |
Ω |
0.058441722556915 |
Real period |
R |
25.081859412983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192x1 |
Quadratic twists by: -11 |