Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596m |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-10137528925391088 = -1 · 24 · 312 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27885,-5165147] |
[a1,a2,a3,a4,a6] |
Generators |
[3653:220545:1] |
Generators of the group modulo torsion |
j |
-42592000/180063 |
j-invariant |
L |
8.2923404660941 |
L(r)(E,1)/r! |
Ω |
0.16812669933351 |
Real period |
R |
4.1101643718654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38532k1 8892o1 |
Quadratic twists by: -3 13 |