Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700bd |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-16500696300000000 = -1 · 28 · 37 · 58 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55133,-7957137] |
[a1,a2,a3,a4,a6] |
j |
-4633471246336/4125174075 |
j-invariant |
L |
2.1029840954664 |
L(r)(E,1)/r! |
Ω |
0.1502131499577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12540g1 |
Quadratic twists by: 5 |