Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605ba |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-2048857335 = -1 · 34 · 5 · 76 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,72,-2159] |
[a1,a2,a3,a4,a6] |
Generators |
[347:6294:1] |
Generators of the group modulo torsion |
j |
357911/17415 |
j-invariant |
L |
8.741756651626 |
L(r)(E,1)/r! |
Ω |
0.70453296274021 |
Real period |
R |
3.1019686494248 |
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 |
94815w1 645a1 |
Quadratic twists by: -3 -7 |