Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68080m |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
199296 |
Modular degree for the optimal curve |
Δ |
-224351350497280 = -1 · 213 · 5 · 236 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -5 -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25283,-1706942] |
[a1,a2,a3,a4,a6] |
Generators |
[777:21160:1] |
Generators of the group modulo torsion |
j |
-436364667185049/54773278930 |
j-invariant |
L |
4.6418037434276 |
L(r)(E,1)/r! |
Ω |
0.18798545804105 |
Real period |
R |
1.0288481423192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8510a1 |
Quadratic twists by: -4 |