Atkin-Lehner |
3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94809b |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-10539580052859 = -1 · 3 · 114 · 132 · 175 |
Discriminant |
Eigenvalues |
0 3+ 3 -2 11+ 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26069,-1618927] |
[a1,a2,a3,a4,a6] |
Generators |
[2882113:103515615:2197] |
Generators of the group modulo torsion |
j |
-11593826128887808/62364379011 |
j-invariant |
L |
4.6490273226164 |
L(r)(E,1)/r! |
Ω |
0.18780077739704 |
Real period |
R |
12.37755081777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809h1 |
Quadratic twists by: 13 |