Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274br |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
6294183084 = 22 · 36 · 74 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1262,17137] |
[a1,a2,a3,a4,a6] |
Generators |
[1:125:1] |
Generators of the group modulo torsion |
j |
304685358489/8633996 |
j-invariant |
L |
12.718768844835 |
L(r)(E,1)/r! |
Ω |
1.3345779904549 |
Real period |
R |
0.59563626751715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12586c1 |
Quadratic twists by: -3 |