Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800k |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-4455870300000000 = -1 · 28 · 32 · 58 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14908,-3282188] |
[a1,a2,a3,a4,a6] |
Generators |
[646:16008:1] |
Generators of the group modulo torsion |
j |
-91611713104/1113967575 |
j-invariant |
L |
4.2387645202674 |
L(r)(E,1)/r! |
Ω |
0.18589635362038 |
Real period |
R |
2.8502202874313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360w1 |
Quadratic twists by: 5 |