Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199j |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1080576 |
Modular degree for the optimal curve |
Δ |
-1209923389969371 = -1 · 36 · 7 · 117 · 233 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,14728,1520702] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-1634:1] [-15:1138:1] |
Generators of the group modulo torsion |
j |
29036351328256/99443033613 |
j-invariant |
L |
4.0925946127507 |
L(r)(E,1)/r! |
Ω |
0.34445320993498 |
Real period |
R |
0.42433657007059 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999976664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122199d1 |
Quadratic twists by: -23 |