Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814s |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
12926194502 = 2 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 5 -3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313,107089] |
[a1,a2,a3,a4,a6] |
Generators |
[105994:-46257:2744] |
Generators of the group modulo torsion |
j |
1838265625/2678 |
j-invariant |
L |
13.818861561655 |
L(r)(E,1)/r! |
Ω |
1.2600932404024 |
Real period |
R |
5.4832694591879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678g1 |
Quadratic twists by: 13 |