Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2450r |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-141237624500000000 = -1 · 28 · 59 · 710 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18758,-18059084] |
[a1,a2,a3,a4,a6] |
Generators |
[244:878:1] |
Generators of the group modulo torsion |
j |
1323/256 |
j-invariant |
L |
1.4093400603575 |
L(r)(E,1)/r! |
Ω |
0.15409876283912 |
Real period |
R |
2.2864233858725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600eb1 78400fq1 22050ff1 2450bg1 |
Quadratic twists by: -4 8 -3 5 |