Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630g |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
712704 |
Modular degree for the optimal curve |
Δ |
-1066261571100000000 = -1 · 28 · 39 · 58 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,214716,-31702960] |
[a1,a2,a3,a4,a6] |
Generators |
[536:15132:1] |
Generators of the group modulo torsion |
j |
55619170283328813/54171700000000 |
j-invariant |
L |
5.4750392637585 |
L(r)(E,1)/r! |
Ω |
0.15058279061867 |
Real period |
R |
1.1362186627672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36630v1 |
Quadratic twists by: -3 |