Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256n |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
20197632 = 28 · 3 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
137842000/78897 |
j-invariant |
L |
4.5140100580833 |
L(r)(E,1)/r! |
Ω |
1.8000845038199 |
Real period |
R |
2.5076656390059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128bb1 |
Quadratic twists by: -4 |