Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264k |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
56401920 |
Modular degree for the optimal curve |
Δ |
-1.1420549985874E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,129214047,-5110507295199] |
[a1,a2,a3,a4,a6] |
Generators |
[86840470382680:11365651745928133:3966822287] |
Generators of the group modulo torsion |
j |
910149999888914847380375/43565940803046185238528 |
j-invariant |
L |
6.6718511671144 |
L(r)(E,1)/r! |
Ω |
0.01931177534635 |
Real period |
R |
19.193388050834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99264bu1 3102c1 |
Quadratic twists by: -4 8 |