Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dw |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
126743823360000000 = 216 · 38 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200408,30051312] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:4050:1] |
Generators of the group modulo torsion |
j |
13908844989649/1980372240 |
j-invariant |
L |
4.3308524463724 |
L(r)(E,1)/r! |
Ω |
0.31684435965946 |
Real period |
R |
1.708588267237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550z1 18480ct1 |
Quadratic twists by: -4 5 |