Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
34980f |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-13459604400 = -1 · 24 · 32 · 52 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,179,5446] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:45:1] [-9:55:1] |
Generators of the group modulo torsion |
j |
39421607936/841225275 |
j-invariant |
L |
6.6027994251237 |
L(r)(E,1)/r! |
Ω |
0.94071282270343 |
Real period |
R |
0.38994067204314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104940bb1 |
Quadratic twists by: -3 |