Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304t |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19426059231744 = -1 · 29 · 3 · 118 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2992,-220220] |
[a1,a2,a3,a4,a6] |
Generators |
[75198123:-83340530:970299] |
Generators of the group modulo torsion |
j |
-5787402166664/37941521937 |
j-invariant |
L |
4.0206666510458 |
L(r)(E,1)/r! |
Ω |
0.28739469756497 |
Real period |
R |
13.990051608531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304l2 124608bq3 |
Quadratic twists by: -4 8 |