Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49300u |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
356400 |
Modular degree for the optimal curve |
Δ |
-11982315700000000 = -1 · 28 · 58 · 173 · 293 |
Discriminant |
Eigenvalues |
2- -2 5- -1 0 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-338708,-76168412] |
[a1,a2,a3,a4,a6] |
Generators |
[2487:120292:1] |
Generators of the group modulo torsion |
j |
-42973562455120/119823157 |
j-invariant |
L |
3.3942398802548 |
L(r)(E,1)/r! |
Ω |
0.098932859046192 |
Real period |
R |
3.8120576733648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999418 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
49300e1 |
Quadratic twists by: 5 |