Atkin-Lehner |
3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191a |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
46117918539 = 312 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9339,-351114] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:35:1] [287:4407:1] |
Generators of the group modulo torsion |
j |
262623524091319/134454573 |
j-invariant |
L |
4.2852096172048 |
L(r)(E,1)/r! |
Ω |
0.48566584647454 |
Real period |
R |
8.8233703240843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573bo2 37191e2 |
Quadratic twists by: -3 -7 |