Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400bv |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-19000000 = -1 · 26 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76933,8238987] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:3657:1] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
7.8384735893514 |
L(r)(E,1)/r! |
Ω |
1.3051012071778 |
Real period |
R |
6.0060273841148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400g3 7600m3 1216q3 |
Quadratic twists by: -4 8 5 |