Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247t |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
660793395790953 = 36 · 177 · 472 |
Discriminant |
Eigenvalues |
1 3- 4 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41670,-3021057] |
[a1,a2,a3,a4,a6] |
Generators |
[-286503006122010:-674918590803381:2141700569000] |
Generators of the group modulo torsion |
j |
454756609/37553 |
j-invariant |
L |
13.39000180159 |
L(r)(E,1)/r! |
Ω |
0.33590558352862 |
Real period |
R |
19.931198613575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13583c1 7191f1 |
Quadratic twists by: -3 17 |