Atkin-Lehner |
3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175u |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-12885681360234375 = -1 · 32 · 57 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,54499,2422523] |
[a1,a2,a3,a4,a6] |
j |
1145725929069119/824683607055 |
j-invariant |
L |
2.0290657672036 |
L(r)(E,1)/r! |
Ω |
0.25363320244568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635m1 |
Quadratic twists by: 5 |