Atkin-Lehner |
5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6845d |
Isogeny class |
Conductor |
6845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
59332423208125 = 54 · 377 |
Discriminant |
Eigenvalues |
2 1 5- -5 3 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-214020,38036131] |
[a1,a2,a3,a4,a6] |
j |
422550360064/23125 |
j-invariant |
L |
4.7255902292643 |
L(r)(E,1)/r! |
Ω |
0.59069877865804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109520v1 61605f1 34225f1 185a1 |
Quadratic twists by: -4 -3 5 37 |