Atkin-Lehner |
43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112789a |
Isogeny class |
Conductor |
112789 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
-2652999387210152581 = -1 · 438 · 613 |
Discriminant |
Eigenvalues |
-1 2 1 3 -3 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-265370,-94502036] |
[a1,a2,a3,a4,a6] |
j |
-326940373369/419687869 |
j-invariant |
L |
1.6055796558095 |
L(r)(E,1)/r! |
Ω |
0.10034871059454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2623a1 |
Quadratic twists by: -43 |