Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200n |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-549100000000 = -1 · 28 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1825,-19250] |
[a1,a2,a3,a4,a6] |
Generators |
[30:250:1] |
Generators of the group modulo torsion |
j |
168055344/137275 |
j-invariant |
L |
5.1089860421787 |
L(r)(E,1)/r! |
Ω |
0.51148606462138 |
Real period |
R |
2.4971286142039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64600d2 25840g2 |
Quadratic twists by: -4 5 |