Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103700d |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
99792 |
Modular degree for the optimal curve |
Δ |
1543470800 = 24 · 52 · 17 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 1 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2753,-54658] |
[a1,a2,a3,a4,a6] |
Generators |
[-976096:177693:32768] |
Generators of the group modulo torsion |
j |
5770854154240/3858677 |
j-invariant |
L |
12.914524037196 |
L(r)(E,1)/r! |
Ω |
0.65910148076688 |
Real period |
R |
6.5313786490538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103700m1 |
Quadratic twists by: 5 |