Atkin-Lehner |
2- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
110960h |
Isogeny class |
Conductor |
110960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
99755575214080 = 221 · 5 · 194 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -1 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12256,208640] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:722:1] [16:128:1] |
Generators of the group modulo torsion |
j |
49710193744609/24354388480 |
j-invariant |
L |
9.8201224431613 |
L(r)(E,1)/r! |
Ω |
0.53148515243037 |
Real period |
R |
2.3095947263443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870d1 |
Quadratic twists by: -4 |