Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310k |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-53367275520 = -1 · 220 · 33 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,719,-8215] |
[a1,a2,a3,a4,a6] |
Generators |
[26:155:1] |
Generators of the group modulo torsion |
j |
41102915774831/53367275520 |
j-invariant |
L |
7.6653691022266 |
L(r)(E,1)/r! |
Ω |
0.59864821727458 |
Real period |
R |
0.85363088382959 |
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 |
90480u1 33930m1 56550d1 |
Quadratic twists by: -4 -3 5 |