Atkin-Lehner |
2- 3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314n |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1485087954893770752 = 212 · 35 · 76 · 193 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-349369,53518727] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-6552:1] |
Generators of the group modulo torsion |
j |
4716033595617060750097/1485087954893770752 |
j-invariant |
L |
6.3412835428146 |
L(r)(E,1)/r! |
Ω |
0.24851546591992 |
Real period |
R |
0.70879598750986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942j1 |
Quadratic twists by: -3 |