Atkin-Lehner |
2+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402s |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3444480 |
Modular degree for the optimal curve |
Δ |
-168699530153549824 = -1 · 213 · 117 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ -2 3 2 11- 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3916047,-2983162558] |
[a1,a2,a3,a4,a6] |
Generators |
[5180:337601:1] |
Generators of the group modulo torsion |
j |
-3748962776430234817/95226486784 |
j-invariant |
L |
4.940669999035 |
L(r)(E,1)/r! |
Ω |
0.053660774484946 |
Real period |
R |
5.7545177962751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997799217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582j1 |
Quadratic twists by: -11 |