Atkin-Lehner |
2+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68200b |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2131250000 = 24 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2883,60512] |
[a1,a2,a3,a4,a6] |
Generators |
[346:975:8] |
Generators of the group modulo torsion |
j |
10603964416/8525 |
j-invariant |
L |
9.1050767979469 |
L(r)(E,1)/r! |
Ω |
1.4551966913742 |
Real period |
R |
3.1284694541741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640g1 |
Quadratic twists by: 5 |