Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114708d |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
7315639890768 = 24 · 33 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275073,55620666] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:10043:1] [250:1554:1] |
Generators of the group modulo torsion |
j |
671131648000/2133 |
j-invariant |
L |
10.373392701977 |
L(r)(E,1)/r! |
Ω |
0.64920319747938 |
Real period |
R |
1.7754059032825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708a1 |
Quadratic twists by: -11 |