Atkin-Lehner |
3+ 7- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36519f |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-613161058167 = -1 · 34 · 76 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3+ 4 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,312,-37485] |
[a1,a2,a3,a4,a6] |
Generators |
[3390:68235:8] |
Generators of the group modulo torsion |
j |
3342032927351/613161058167 |
j-invariant |
L |
7.6574400269153 |
L(r)(E,1)/r! |
Ω |
0.4313957805223 |
Real period |
R |
2.9583970500141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557r1 |
Quadratic twists by: -3 |