Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-3.043963367424E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30097055,-837017918975] |
[a1,a2,a3,a4,a6] |
Generators |
[27115:-4462500:1] |
Generators of the group modulo torsion |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
6.0345016013479 |
L(r)(E,1)/r! |
Ω |
0.025874556397877 |
Real period |
R |
0.55528917407125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999331517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ej1 28560do1 |
Quadratic twists by: -4 8 |