Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bi |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4058419904 = -1 · 26 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17509,-897611] |
[a1,a2,a3,a4,a6] |
Generators |
[13989816223980:-68804391440561:85474730125] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
8.4323760477001 |
L(r)(E,1)/r! |
Ω |
0.20751618667837 |
Real period |
R |
20.317393507161 |
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 |
34496cp1 539a1 4928o1 |
Quadratic twists by: -4 8 -7 |