Atkin-Lehner |
2+ 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11376b |
Isogeny class |
Conductor |
11376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
24879312 = 24 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-702,7155] |
[a1,a2,a3,a4,a6] |
Generators |
[19:26:1] |
Generators of the group modulo torsion |
j |
121485312/79 |
j-invariant |
L |
2.5232392193047 |
L(r)(E,1)/r! |
Ω |
2.102936489291 |
Real period |
R |
2.3997293614468 |
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 |
5688d1 45504bd1 11376a1 |
Quadratic twists by: -4 8 -3 |