Atkin-Lehner |
3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
20085c |
Isogeny class |
Conductor |
20085 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-18618795 = -1 · 33 · 5 · 13 · 1032 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,34,182] |
[a1,a2,a3,a4,a6] |
Generators |
[13:51:1] |
Generators of the group modulo torsion |
j |
4220112896/18618795 |
j-invariant |
L |
1.7325805780676 |
L(r)(E,1)/r! |
Ω |
1.5579459893168 |
Real period |
R |
0.5560464194357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60255f1 100425g1 |
Quadratic twists by: -3 5 |