Atkin-Lehner |
2- 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100r |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
4406400 |
Modular degree for the optimal curve |
Δ |
-2.4389479984486E+22 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 5 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20306375,36013158750] |
[a1,a2,a3,a4,a6] |
Generators |
[-2425:266450:1] [3075:51450:1] |
Generators of the group modulo torsion |
j |
-9260211765498878160/243894799844857 |
j-invariant |
L |
9.3347695590375 |
L(r)(E,1)/r! |
Ω |
0.11938660479238 |
Real period |
R |
0.8687713495786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100i1 |
Quadratic twists by: 5 |