Atkin-Lehner |
2- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
44954s |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-2309556704 = -1 · 25 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
2- -1 3 7+ -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1609,24279] |
[a1,a2,a3,a4,a6] |
Generators |
[27:24:1] |
Generators of the group modulo torsion |
j |
-16130034817/80864 |
j-invariant |
L |
8.8024235422095 |
L(r)(E,1)/r! |
Ω |
1.4640741631515 |
Real period |
R |
0.6012279817337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44954h1 |
Quadratic twists by: 13 |