Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cq |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-14393003835392 = -1 · 215 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 1 4 7- -5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65121,-6420673] |
[a1,a2,a3,a4,a6] |
Generators |
[121429:1329320:343] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
10.221033915791 |
L(r)(E,1)/r! |
Ω |
0.14942610008423 |
Real period |
R |
8.5502414847887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712cb1 37856g1 5824q1 |
Quadratic twists by: -4 8 13 |