Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bv |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-34937817075 = -1 · 311 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 -6 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,60,8991] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-284:1] [-19:31:1] |
Generators of the group modulo torsion |
j |
1310720/1917027 |
j-invariant |
L |
7.2522709545767 |
L(r)(E,1)/r! |
Ω |
0.90933117998936 |
Real period |
R |
0.664615847538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075r1 36225ca1 |
Quadratic twists by: -3 5 |