Atkin-Lehner |
3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22995c |
Isogeny class |
Conductor |
22995 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
91779368625 = 39 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1149,-3232] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:94:1] |
Generators of the group modulo torsion |
j |
8527173507/4662875 |
j-invariant |
L |
7.061719523244 |
L(r)(E,1)/r! |
Ω |
0.87578304917273 |
Real period |
R |
2.6877735415997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22995b1 114975f1 |
Quadratic twists by: -3 5 |