Atkin-Lehner |
2+ 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950p |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1095817650468750 = -1 · 2 · 36 · 57 · 112 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35501,3024398] |
[a1,a2,a3,a4,a6] |
Generators |
[-1554:13673:8] [96:661:1] |
Generators of the group modulo torsion |
j |
-316670684057281/70132329630 |
j-invariant |
L |
8.6002555149786 |
L(r)(E,1)/r! |
Ω |
0.46835177788859 |
Real period |
R |
0.12751952581684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190m1 |
Quadratic twists by: 5 |