Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850cq |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
49559773287200 = 25 · 52 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30918,-2077789] |
[a1,a2,a3,a4,a6] |
j |
609926185/9248 |
j-invariant |
L |
3.6036749967592 |
L(r)(E,1)/r! |
Ω |
0.36036746956396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bq1 102850k1 |
Quadratic twists by: 5 -11 |