Atkin-Lehner |
2- 5+ 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
103850o |
Isogeny class |
Conductor |
103850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-1038500000 = -1 · 25 · 56 · 31 · 67 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -3 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-405,3597] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] [-98:695:8] |
Generators of the group modulo torsion |
j |
-469097433/66464 |
j-invariant |
L |
10.457395237805 |
L(r)(E,1)/r! |
Ω |
1.5058994914893 |
Real period |
R |
0.34721424945419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4154a1 |
Quadratic twists by: 5 |