Atkin-Lehner |
2- 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
22660a |
Isogeny class |
Conductor |
22660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-5648231600 = -1 · 24 · 52 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,272,3177] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:45:1] |
Generators of the group modulo torsion |
j |
139094654976/353014475 |
j-invariant |
L |
5.3201043945389 |
L(r)(E,1)/r! |
Ω |
0.94522782601155 |
Real period |
R |
1.8761277257313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90640l1 113300a1 |
Quadratic twists by: -4 5 |