Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800b |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-195750000 = -1 · 24 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-39213] |
[a1,a2,a3,a4,a6] |
Generators |
[10389:201925:27] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
4.6018747408972 |
L(r)(E,1)/r! |
Ω |
0.34821631859471 |
Real period |
R |
6.6077815644425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17400bk1 104400bc1 1392d1 |
Quadratic twists by: -4 -3 5 |