Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400bo |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121600000000 = 214 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10300,402000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:300:1] |
Generators of the group modulo torsion |
j |
472058064/475 |
j-invariant |
L |
3.4859587464085 |
L(r)(E,1)/r! |
Ω |
1.0415608581342 |
Real period |
R |
1.6734301789398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400b2 7600j2 6080w2 |
Quadratic twists by: -4 8 5 |