Atkin-Lehner |
2- 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550p |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-3693359375000000 = -1 · 26 · 515 · 31 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3079063,2078300781] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:60848:1] [375:31062:1] |
Generators of the group modulo torsion |
j |
-206613845039187455401/236375000000 |
j-invariant |
L |
13.875659511663 |
L(r)(E,1)/r! |
Ω |
0.37345984337175 |
Real period |
R |
1.5480981153039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18910c1 |
Quadratic twists by: 5 |