Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656b |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
3563753859792 = 24 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 5 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5259,117090] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:216:1] |
Generators of the group modulo torsion |
j |
174426112/38637 |
j-invariant |
L |
4.6750604897584 |
L(r)(E,1)/r! |
Ω |
0.74505841042573 |
Real period |
R |
3.1373785320187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999268867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328bl1 124656ba1 |
Quadratic twists by: -4 -7 |