Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bo |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3061257408 = -1 · 26 · 33 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,363,0] |
[a1,a2,a3,a4,a6] |
Generators |
[12:78:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.6293766157775 |
L(r)(E,1)/r! |
Ω |
0.8495336028201 |
Real period |
R |
2.7246577418534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848bo1 69696et2 34848i1 288a1 |
Quadratic twists by: -4 8 -3 -11 |