Atkin-Lehner |
2- 3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314o |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
-11804016 = -1 · 24 · 3 · 7 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49,191] |
[a1,a2,a3,a4,a6] |
Generators |
[14:75:8] |
Generators of the group modulo torsion |
j |
-13027640977/11804016 |
j-invariant |
L |
6.6596894543672 |
L(r)(E,1)/r! |
Ω |
2.0653823053368 |
Real period |
R |
1.612217127347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942k1 |
Quadratic twists by: -3 |