Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802a |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2259684 = -1 · 22 · 33 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -6 -2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30,104] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] [-5:13:1] |
Generators of the group modulo torsion |
j |
-328509/244 |
j-invariant |
L |
6.5837597793441 |
L(r)(E,1)/r! |
Ω |
2.3862116088665 |
Real period |
R |
0.34488557903254 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802bh1 53802e1 |
Quadratic twists by: -3 -7 |