Atkin-Lehner |
3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725d |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
140175 = 32 · 52 · 7 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
9765625/5607 |
j-invariant |
L |
5.001307363223 |
L(r)(E,1)/r! |
Ω |
2.7945394464014 |
Real period |
R |
0.89483570712575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725y1 |
Quadratic twists by: 5 |