Atkin-Lehner |
5+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675u |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-2020332453425 = -1 · 52 · 118 · 13 · 29 |
Discriminant |
Eigenvalues |
1 -3 5+ -1 11- 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17467,895546] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1366:1] |
Generators of the group modulo torsion |
j |
-23575051490720625/80813298137 |
j-invariant |
L |
4.287083429707 |
L(r)(E,1)/r! |
Ω |
0.83169882352771 |
Real period |
R |
0.64432630496905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675bf1 |
Quadratic twists by: 5 |