Atkin-Lehner |
5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
4355c |
Isogeny class |
Conductor |
4355 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-36293138881675 = -1 · 52 · 136 · 673 |
Discriminant |
Eigenvalues |
0 -2 5- -4 0 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2405,292581] |
[a1,a2,a3,a4,a6] |
Generators |
[13:513:1] [35:502:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/36293138881675 |
j-invariant |
L |
3.0093293988314 |
L(r)(E,1)/r! |
Ω |
0.5459734774108 |
Real period |
R |
0.15310722362805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680bf2 39195i2 21775a2 56615b2 |
Quadratic twists by: -4 -3 5 13 |