Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234x |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-189016456602428 = -1 · 22 · 79 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 0 0 7- -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8835,-581311] |
[a1,a2,a3,a4,a6] |
Generators |
[6227328112:-6056240437:122023936] |
Generators of the group modulo torsion |
j |
648337611375/1606613372 |
j-invariant |
L |
7.4765341570358 |
L(r)(E,1)/r! |
Ω |
0.29296919963485 |
Real period |
R |
12.759932044624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7462h1 |
Quadratic twists by: -7 |