Atkin-Lehner |
2+ 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690w |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-612040292748900000 = -1 · 25 · 310 · 55 · 175 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3019329,2020465885] |
[a1,a2,a3,a4,a6] |
Generators |
[-1879:33452:1] [671:-17548:1] |
Generators of the group modulo torsion |
j |
-4175683559974259293969/839561444100000 |
j-invariant |
L |
8.6619131288973 |
L(r)(E,1)/r! |
Ω |
0.28107094987126 |
Real period |
R |
0.30817532488886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230r1 |
Quadratic twists by: -3 |