Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ce |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
952140467250000 = 24 · 33 · 56 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-405538,-99559969] |
[a1,a2,a3,a4,a6] |
Generators |
[-365:207:1] |
Generators of the group modulo torsion |
j |
472061321777762137/60936989904 |
j-invariant |
L |
6.9491396304937 |
L(r)(E,1)/r! |
Ω |
0.18918862652981 |
Real period |
R |
2.2957047413117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2814a3 |
Quadratic twists by: 5 |