Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498p |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
297383721427148048 = 24 · 76 · 119 · 67 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-169463,-5722727] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:4615:1] [516:6397:1] |
Generators of the group modulo torsion |
j |
303803262015625/167865357968 |
j-invariant |
L |
12.180555681057 |
L(r)(E,1)/r! |
Ω |
0.25192808049706 |
Real period |
R |
6.0436671336609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318e1 |
Quadratic twists by: -11 |