Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10220d |
Isogeny class |
Conductor |
10220 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-10674626480 = -1 · 24 · 5 · 73 · 733 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,499,2684] |
[a1,a2,a3,a4,a6] |
j |
857106415616/667164155 |
j-invariant |
L |
2.4695683878408 |
L(r)(E,1)/r! |
Ω |
0.82318946261359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40880o1 91980bk1 51100c1 71540i1 |
Quadratic twists by: -4 -3 5 -7 |