Atkin-Lehner |
2+ 3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742f |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
1644132 = 22 · 3 · 7 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32,26] |
[a1,a2,a3,a4,a6] |
j |
3463512697/1644132 |
j-invariant |
L |
2.3764140659194 |
L(r)(E,1)/r! |
Ω |
2.376414065911 |
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 |
107226bd1 |
Quadratic twists by: -3 |