Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30636a |
Isogeny class |
Conductor |
30636 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2290176 |
Modular degree for the optimal curve |
Δ |
-3.0955399392746E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14348880,33974014437] |
[a1,a2,a3,a4,a6] |
Generators |
[1926763047:86837297778:704969] |
Generators of the group modulo torsion |
j |
-1037448262725009408000/982935762864706561 |
j-invariant |
L |
6.6815113253651 |
L(r)(E,1)/r! |
Ω |
0.088334379407392 |
Real period |
R |
9.4548568889447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544u1 30636b1 |
Quadratic twists by: -4 -3 |