Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176be |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1934260992 = -1 · 28 · 33 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-2116] |
[a1,a2,a3,a4,a6] |
Generators |
[13:9:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
6.9386532478943 |
L(r)(E,1)/r! |
Ω |
0.67781696904846 |
Real period |
R |
2.5591913321605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19044b1 76176be2 76176bf1 |
Quadratic twists by: -4 -3 -23 |