Atkin-Lehner |
5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9775c |
Isogeny class |
Conductor |
9775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
70800 |
Modular degree for the optimal curve |
Δ |
18165069599609375 = 510 · 172 · 235 |
Discriminant |
Eigenvalues |
-1 0 5+ -1 -5 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-459805,-119717178] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:396:1] |
Generators of the group modulo torsion |
j |
1100889810232425/1860103127 |
j-invariant |
L |
2.2220203897577 |
L(r)(E,1)/r! |
Ω |
0.18335817649154 |
Real period |
R |
1.211846906571 |
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 |
87975m1 9775e1 |
Quadratic twists by: -3 5 |