Atkin-Lehner |
2+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992b |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-1664704 = -1 · 26 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 0 3 3 1 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[455:111:125] |
Generators of the group modulo torsion |
j |
110592/26011 |
j-invariant |
L |
8.2679219996357 |
L(r)(E,1)/r! |
Ω |
1.2524784484085 |
Real period |
R |
3.3006244579046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992bc1 703b1 |
Quadratic twists by: -4 8 |