Atkin-Lehner |
2+ 3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214f |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
93308758701350976 = 26 · 36 · 78 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1095036,441081872] |
[a1,a2,a3,a4,a6] |
Generators |
[-1151:13828:1] |
Generators of the group modulo torsion |
j |
199196451795009669057/127995553774144 |
j-invariant |
L |
4.2754959804823 |
L(r)(E,1)/r! |
Ω |
0.33490179023216 |
Real period |
R |
3.1916043048316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973789 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8246d2 |
Quadratic twists by: -3 |