Atkin-Lehner |
2+ 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918p |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-19739821829450814 = -1 · 2 · 37 · 76 · 132 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1323558,586457658] |
[a1,a2,a3,a4,a6] |
Generators |
[141:19995:1] |
Generators of the group modulo torsion |
j |
-351742868156013620833/27077944896366 |
j-invariant |
L |
6.4061659252924 |
L(r)(E,1)/r! |
Ω |
0.36693501374517 |
Real period |
R |
1.0911615282965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986786 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33306t2 |
Quadratic twists by: -3 |