Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600q |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-15800000000000 = -1 · 212 · 511 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20133,-1109363] |
[a1,a2,a3,a4,a6] |
Generators |
[60564:2861875:27] |
Generators of the group modulo torsion |
j |
-14102327296/246875 |
j-invariant |
L |
5.0667155948795 |
L(r)(E,1)/r! |
Ω |
0.20018864750261 |
Real period |
R |
6.3274262278202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1975d1 126400ca1 6320h1 |
Quadratic twists by: -4 8 5 |