Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800ca |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-271994060800000000 = -1 · 224 · 58 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22408,-25132812] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
1.6576172446381 |
L(r)(E,1)/r! |
Ω |
0.13813477038643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850d1 123200fs1 6160g1 |
Quadratic twists by: -4 8 5 |