Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800n |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-4414463593750000 = -1 · 24 · 510 · 75 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-141875,20815625] |
[a1,a2,a3,a4,a6] |
Generators |
[136:2009:1] |
Generators of the group modulo torsion |
j |
-2021255942400/28252567 |
j-invariant |
L |
5.4735967307486 |
L(r)(E,1)/r! |
Ω |
0.43767158052323 |
Real period |
R |
1.2506173529862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400c1 114800t1 |
Quadratic twists by: -4 5 |