Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529f |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
296352 |
Modular degree for the optimal curve |
Δ |
-36813260002061907 = -1 · 33 · 710 · 136 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-9231245] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.33536545665261 |
L(r)(E,1)/r! |
Ω |
0.16768273029081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74529f2 74529c1 441a1 |
Quadratic twists by: -3 -7 13 |