Atkin-Lehner |
2+ 3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214f |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
245702769438168 = 23 · 36 · 74 · 19 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17517876,28225242584] |
[a1,a2,a3,a4,a6] |
Generators |
[302095:-151357:125] |
Generators of the group modulo torsion |
j |
815531126295101552657217/337040835992 |
j-invariant |
L |
4.2754959804823 |
L(r)(E,1)/r! |
Ω |
0.33490179023216 |
Real period |
R |
6.3832086096631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246d3 |
Quadratic twists by: -3 |