Atkin-Lehner |
2- 3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918bf |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-2694957684322176 = -1 · 27 · 314 · 7 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30964,1348751] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-2987:1] |
Generators of the group modulo torsion |
j |
4503814650179207/3696786946944 |
j-invariant |
L |
9.5698562271433 |
L(r)(E,1)/r! |
Ω |
0.29377398442418 |
Real period |
R |
1.1634133641909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33306i2 |
Quadratic twists by: -3 |