Atkin-Lehner |
2- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688p |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-8111847286767616 = -1 · 229 · 75 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 1 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39088,-3164224] |
[a1,a2,a3,a4,a6] |
Generators |
[8333498:172401666:24389] |
Generators of the group modulo torsion |
j |
1612437917510447/1980431466496 |
j-invariant |
L |
5.4167149646486 |
L(r)(E,1)/r! |
Ω |
0.22228845688688 |
Real period |
R |
12.183977206508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999643497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586h1 |
Quadratic twists by: -4 |