Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248c |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-8027897856 = -1 · 223 · 3 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,-4191] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-128:1] |
Generators of the group modulo torsion |
j |
4657463/30624 |
j-invariant |
L |
1.720270104733 |
L(r)(E,1)/r! |
Ω |
0.65507528960591 |
Real period |
R |
0.65651617921428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248cg1 1914f1 |
Quadratic twists by: -4 8 |