Atkin-Lehner |
2- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35378i |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
238032 |
Modular degree for the optimal curve |
Δ |
163110139445764 = 22 · 74 · 198 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21006,-992519] |
[a1,a2,a3,a4,a6] |
j |
25137/4 |
j-invariant |
L |
7.2148856859447 |
L(r)(E,1)/r! |
Ω |
0.40082698255178 |
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 |
35378l1 35378b1 |
Quadratic twists by: -7 -19 |