Atkin-Lehner |
3- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185s |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
-47517094927575 = -1 · 310 · 52 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,720,-331749] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:14127:8] |
Generators of the group modulo torsion |
j |
56578878719/65181200175 |
j-invariant |
L |
7.5604452755615 |
L(r)(E,1)/r! |
Ω |
0.29640856315231 |
Real period |
R |
1.594177390978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395r1 |
Quadratic twists by: -3 |