Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914bh |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-54271438848 = -1 · 212 · 32 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1414,-23452] |
[a1,a2,a3,a4,a6] |
Generators |
[92:746:1] |
Generators of the group modulo torsion |
j |
-25698491351/4460544 |
j-invariant |
L |
10.577584268927 |
L(r)(E,1)/r! |
Ω |
0.38562114404241 |
Real period |
R |
1.1429162655653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742i1 34914bc1 |
Quadratic twists by: -3 -23 |