Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51304a |
Isogeny class |
Conductor |
51304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14013302614784 = -1 · 28 · 117 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4961,-119790] |
[a1,a2,a3,a4,a6] |
Generators |
[32395:538692:125] |
Generators of the group modulo torsion |
j |
29773872/30899 |
j-invariant |
L |
4.4525404131376 |
L(r)(E,1)/r! |
Ω |
0.38225710955208 |
Real period |
R |
5.8240125583437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102608c2 4664c2 |
Quadratic twists by: -4 -11 |