Atkin-Lehner |
2- 3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314n |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2622265749664997184 = 26 · 310 · 73 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5069049,4389960711] |
[a1,a2,a3,a4,a6] |
Generators |
[1403:5796:1] |
Generators of the group modulo torsion |
j |
14404665760137150550664977/2622265749664997184 |
j-invariant |
L |
6.3412835428146 |
L(r)(E,1)/r! |
Ω |
0.24851546591992 |
Real period |
R |
1.4175919750197 |
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 |
102942j2 |
Quadratic twists by: -3 |