Atkin-Lehner |
3+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110715h |
Isogeny class |
Conductor |
110715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
-232604619140676915 = -1 · 35 · 5 · 1112 · 61 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 11- -4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-39970,-23393877] |
[a1,a2,a3,a4,a6] |
Generators |
[11612326413096405494:294960661809077374441:15639629563474552] |
Generators of the group modulo torsion |
j |
-3986400342016/131299243515 |
j-invariant |
L |
14.043423568429 |
L(r)(E,1)/r! |
Ω |
0.13655197409923 |
Real period |
R |
25.710766287099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065e1 |
Quadratic twists by: -11 |