Atkin-Lehner |
2+ 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918p |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-2271785421951864 = -1 · 23 · 39 · 72 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288,2293272] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1275:1] |
Generators of the group modulo torsion |
j |
-3630961153/3116303733816 |
j-invariant |
L |
6.4061659252924 |
L(r)(E,1)/r! |
Ω |
0.36693501374517 |
Real period |
R |
0.36372050943217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33306t1 |
Quadratic twists by: -3 |