Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770be |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-36213236529720320 = -1 · 210 · 5 · 713 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-352605,-81137743] |
[a1,a2,a3,a4,a6] |
Generators |
[1762:68175:1] |
Generators of the group modulo torsion |
j |
-41209841879252929/307807431680 |
j-invariant |
L |
11.592014760066 |
L(r)(E,1)/r! |
Ω |
0.097916012250081 |
Real period |
R |
5.9193662475038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110e1 |
Quadratic twists by: -7 |