Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814t |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
17805312 |
Modular degree for the optimal curve |
Δ |
4.422597433739E+25 |
Discriminant |
Eigenvalues |
2- 2 2 -3 3 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-487192612,-4126852990811] |
[a1,a2,a3,a4,a6] |
Generators |
[-337137:2850923:27] |
Generators of the group modulo torsion |
j |
2649510713007509894907337/9162569792463306752 |
j-invariant |
L |
13.322580672227 |
L(r)(E,1)/r! |
Ω |
0.032141392779385 |
Real period |
R |
4.5054257752517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678a1 |
Quadratic twists by: 13 |