Atkin-Lehner |
3+ 7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100233b |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
292032 |
Modular degree for the optimal curve |
Δ |
-19860606342171 = -1 · 39 · 73 · 37 · 433 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 4 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5967,-278296] |
[a1,a2,a3,a4,a6] |
Generators |
[108:580:1] |
Generators of the group modulo torsion |
j |
-1193714675712/1009023337 |
j-invariant |
L |
4.2709048404626 |
L(r)(E,1)/r! |
Ω |
0.26224516167749 |
Real period |
R |
0.90477356814338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100233a1 |
Quadratic twists by: -3 |