Atkin-Lehner |
2+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870i |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-735044750 = -1 · 2 · 53 · 113 · 472 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7684,261190] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-138:1] [-19:642:1] |
Generators of the group modulo torsion |
j |
-37699840860291/552250 |
j-invariant |
L |
5.3925379159816 |
L(r)(E,1)/r! |
Ω |
1.4639647916695 |
Real period |
R |
0.30695967705181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870v1 |
Quadratic twists by: -11 |