Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984r |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-21562431864374016 = -1 · 28 · 36 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,7064948] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2662:1] |
Generators of the group modulo torsion |
j |
-1024/65219 |
j-invariant |
L |
6.4285294431233 |
L(r)(E,1)/r! |
Ω |
0.30490168738568 |
Real period |
R |
0.65887318244157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bw1 6776e1 5544s1 |
Quadratic twists by: -4 -3 -11 |