Atkin-Lehner |
2- 3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270by |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
Δ |
-1.7211674845447E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71610286,2009593744619] |
[a1,a2,a3,a4,a6] |
Generators |
[138233:-51387153:1] |
Generators of the group modulo torsion |
j |
-40611584777338860998438059489/1721167484544713532432188160 |
j-invariant |
L |
6.9433093096669 |
L(r)(E,1)/r! |
Ω |
0.03921585866447 |
Real period |
R |
0.31616715906929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bw2 |
Quadratic twists by: -3 |