Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200v |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.238861205034E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8780408,9635613312] |
[a1,a2,a3,a4,a6] |
Generators |
[-424:115248:1] |
Generators of the group modulo torsion |
j |
4678944235881273796/202428825314625 |
j-invariant |
L |
4.3224089749172 |
L(r)(E,1)/r! |
Ω |
0.14016999438582 |
Real period |
R |
1.2848710908457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020241 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54600ce3 21840l3 |
Quadratic twists by: -4 5 |