Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4650a |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
194602500000000 = 28 · 34 · 510 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30500,-1950000] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:308:1] |
Generators of the group modulo torsion |
j |
200828550012481/12454560000 |
j-invariant |
L |
2.1358181581074 |
L(r)(E,1)/r! |
Ω |
0.36266545944271 |
Real period |
R |
2.9446120418931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37200cz2 13950cf2 930o2 |
Quadratic twists by: -4 -3 5 |