Atkin-Lehner |
7- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
66493d |
Isogeny class |
Conductor |
66493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-7.8065382942474E+22 |
Discriminant |
Eigenvalues |
-2 2 -3 7- 3 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-487762,13443528860] |
[a1,a2,a3,a4,a6] |
Generators |
[-2208914095659:129158844924890:1320139673] |
Generators of the group modulo torsion |
j |
-109083798071898112/663544806521719339 |
j-invariant |
L |
3.5420977162081 |
L(r)(E,1)/r! |
Ω |
0.087029752152744 |
Real period |
R |
20.349924184498 |
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 |
9499b1 |
Quadratic twists by: -7 |