Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715o |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
16915223214225 = 36 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71745,-7376104] |
[a1,a2,a3,a4,a6] |
Generators |
[789724:7581946:2197] |
Generators of the group modulo torsion |
j |
476196576129/197225 |
j-invariant |
L |
4.8584261216306 |
L(r)(E,1)/r! |
Ω |
0.29171728033837 |
Real period |
R |
8.3272854388055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635j1 7245m1 |
Quadratic twists by: -3 -7 |