Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600bg |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-869594940000000 = -1 · 28 · 39 · 57 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7425,1397250] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-1350:1] |
Generators of the group modulo torsion |
j |
574992/11045 |
j-invariant |
L |
4.2793504211537 |
L(r)(E,1)/r! |
Ω |
0.37294230488811 |
Real period |
R |
0.71716026243286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84600c2 16920a2 |
Quadratic twists by: -3 5 |