Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225o |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-30946904296875 = -1 · 39 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19575,-1087594] |
[a1,a2,a3,a4,a6] |
Generators |
[660:16537:1] |
Generators of the group modulo torsion |
j |
-2697228288/100625 |
j-invariant |
L |
2.6991435204775 |
L(r)(E,1)/r! |
Ω |
0.20136971831423 |
Real period |
R |
3.3509799078466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36225f1 7245a1 |
Quadratic twists by: -3 5 |