Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298l |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
396800 |
Modular degree for the optimal curve |
Δ |
-22843833546819744 = -1 · 25 · 33 · 319 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 5 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3077783,-2077527985] |
[a1,a2,a3,a4,a6] |
Generators |
[2397:64474:1] |
Generators of the group modulo torsion |
j |
-4516672077/32 |
j-invariant |
L |
8.0136119124956 |
L(r)(E,1)/r! |
Ω |
0.056991473579196 |
Real period |
R |
7.0305358058164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17298b1 17298m1 |
Quadratic twists by: -3 -31 |