Atkin-Lehner |
2+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954k |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-131248417664 = -1 · 27 · 75 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,321,-17262] |
[a1,a2,a3,a4,a6] |
Generators |
[24:54:1] |
Generators of the group modulo torsion |
j |
21741800639/776617856 |
j-invariant |
L |
3.7582891730866 |
L(r)(E,1)/r! |
Ω |
0.50046888590101 |
Real period |
R |
0.75095361149417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954o1 |
Quadratic twists by: 13 |