Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800da |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-481075200 = -1 · 213 · 34 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-1132] |
[a1,a2,a3,a4,a6] |
Generators |
[14:24:1] |
Generators of the group modulo torsion |
j |
-744385/4698 |
j-invariant |
L |
7.8043597965427 |
L(r)(E,1)/r! |
Ω |
0.6947205860009 |
Real period |
R |
0.70211319070265 |
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 |
4350c1 104400ey1 34800cj1 |
Quadratic twists by: -4 -3 5 |