Atkin-Lehner |
3- 11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23199g |
Isogeny class |
Conductor |
23199 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
103758061077 = 34 · 113 · 19 · 373 |
Discriminant |
Eigenvalues |
-2 3- -2 0 11- -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1254,6806] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:115:1] [-198:1217:8] |
Generators of the group modulo torsion |
j |
218254196518912/103758061077 |
j-invariant |
L |
4.3985188374499 |
L(r)(E,1)/r! |
Ω |
0.94587284050608 |
Real period |
R |
0.12917283760117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69597b1 |
Quadratic twists by: -3 |