Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727o |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
9307266965091873 = 39 · 197 · 232 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18369914,30309208256] |
[a1,a2,a3,a4,a6] |
Generators |
[-1451856:-60836768:343] |
Generators of the group modulo torsion |
j |
19989223566735457/271377 |
j-invariant |
L |
5.36057257905 |
L(r)(E,1)/r! |
Ω |
0.29042043450891 |
Real period |
R |
9.2289865670414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24909m1 3933a1 |
Quadratic twists by: -3 -19 |