Atkin-Lehner |
2- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34408f |
Isogeny class |
Conductor |
34408 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-99668390344688 = -1 · 24 · 116 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11- 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2716,-476323] |
[a1,a2,a3,a4,a6] |
Generators |
[263:4301:1] |
Generators of the group modulo torsion |
j |
138430922885888/6229274396543 |
j-invariant |
L |
5.1047342972063 |
L(r)(E,1)/r! |
Ω |
0.28695025776886 |
Real period |
R |
0.24707797097818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68816b1 |
Quadratic twists by: -4 |