Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300t |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.8455750691333E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112948333,-461943645463] |
[a1,a2,a3,a4,a6] |
Generators |
[-639377096:628883983:103823] |
Generators of the group modulo torsion |
j |
13205749964800/1529437 |
j-invariant |
L |
5.2411534396001 |
L(r)(E,1)/r! |
Ω |
0.046310835484219 |
Real period |
R |
9.4311143542904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300bd2 9100b2 |
Quadratic twists by: 5 13 |