Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022k |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
77174652052368 = 24 · 34 · 138 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45465,3703468] |
[a1,a2,a3,a4,a6] |
j |
2153185532497/15988752 |
j-invariant |
L |
2.4582313458274 |
L(r)(E,1)/r! |
Ω |
0.61455783729725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5694f1 |
Quadratic twists by: 13 |