Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400ci |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-5056000000000000 = -1 · 218 · 512 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64033,7092063] |
[a1,a2,a3,a4,a6] |
Generators |
[193:1400:1] |
Generators of the group modulo torsion |
j |
-7088952961/1234375 |
j-invariant |
L |
5.1745209423877 |
L(r)(E,1)/r! |
Ω |
0.41510258816818 |
Real period |
R |
3.1164109565283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998588961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400l1 31600t1 25280t1 |
Quadratic twists by: -4 8 5 |