Atkin-Lehner |
11- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121847f |
Isogeny class |
Conductor |
121847 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
372600 |
Modular degree for the optimal curve |
Δ |
-34132543549291 = -1 · 116 · 193 · 532 |
Discriminant |
Eigenvalues |
-2 0 -3 1 11- 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7381,139422] |
[a1,a2,a3,a4,a6] |
Generators |
[15:503:1] |
Generators of the group modulo torsion |
j |
25102282752/19266931 |
j-invariant |
L |
1.7435125058073 |
L(r)(E,1)/r! |
Ω |
0.41944701715139 |
Real period |
R |
0.69278216119582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000226621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1007a1 |
Quadratic twists by: -11 |