Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800b |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-344543500000000 = -1 · 28 · 59 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-374300,88145500] |
[a1,a2,a3,a4,a6] |
Generators |
[345:275:1] |
Generators of the group modulo torsion |
j |
-1449850431476736/86135875 |
j-invariant |
L |
2.9058219368013 |
L(r)(E,1)/r! |
Ω |
0.51113585067702 |
Real period |
R |
2.8425142998292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400s1 22960e1 |
Quadratic twists by: -4 5 |