Atkin-Lehner |
5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34075f |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
77201171875 = 59 · 292 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5- -1 -5 -5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6513,199156] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:543:1] [35:107:1] |
Generators of the group modulo torsion |
j |
15643757501/39527 |
j-invariant |
L |
4.2154443061444 |
L(r)(E,1)/r! |
Ω |
1.0901399620881 |
Real period |
R |
0.96672089198299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34075h1 |
Quadratic twists by: 5 |