Atkin-Lehner |
3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35217i |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
231058737 = 310 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761,8232] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:51:1] [-10:126:1] |
Generators of the group modulo torsion |
j |
66775173193/316953 |
j-invariant |
L |
5.0398543581213 |
L(r)(E,1)/r! |
Ω |
1.7735335533892 |
Real period |
R |
2.8417022889075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11739f1 |
Quadratic twists by: -3 |