Atkin-Lehner |
2- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109174i |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1895816117312 = 26 · 136 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 -4 2 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21157,-1177315] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:80:1] [-674:671:8] |
Generators of the group modulo torsion |
j |
216973458729/392768 |
j-invariant |
L |
13.37330905533 |
L(r)(E,1)/r! |
Ω |
0.395899415821 |
Real period |
R |
2.8149635409214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646a1 |
Quadratic twists by: 13 |