Atkin-Lehner |
2+ 3+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950c |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52189312500000000 = 28 · 34 · 512 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2089750,1161836500] |
[a1,a2,a3,a4,a6] |
Generators |
[940:4930:1] |
Generators of the group modulo torsion |
j |
64593231554906552161/3340116000000 |
j-invariant |
L |
4.8616328452991 |
L(r)(E,1)/r! |
Ω |
0.33529466454102 |
Real period |
R |
1.8124478617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790u2 |
Quadratic twists by: 5 |