Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167h |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
8800501933377 = 313 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-942881,352633520] |
[a1,a2,a3,a4,a6] |
Generators |
[54:17347:1] |
Generators of the group modulo torsion |
j |
127164651399625564873/12072019113 |
j-invariant |
L |
2.5443504986674 |
L(r)(E,1)/r! |
Ω |
0.56273121164237 |
Real period |
R |
2.2607156365483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389j1 92169v1 |
Quadratic twists by: -3 -7 |