Atkin-Lehner |
3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42273g |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-103598891180631 = -1 · 312 · 74 · 113 · 61 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11254,-172024] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-1385:1] |
Generators of the group modulo torsion |
j |
216248495232167/142110961839 |
j-invariant |
L |
3.1787036836612 |
L(r)(E,1)/r! |
Ω |
0.34014192244093 |
Real period |
R |
0.77876896719288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14091a1 |
Quadratic twists by: -3 |