Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568bc |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
9703680 |
Modular degree for the optimal curve |
Δ |
-1.9243567960521E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36308139,-227236237862] |
[a1,a2,a3,a4,a6] |
Generators |
[266279:137369886:1] |
Generators of the group modulo torsion |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
5.5711912586153 |
L(r)(E,1)/r! |
Ω |
0.028185138883889 |
Real period |
R |
7.0594335972147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4446k1 35568bd1 |
Quadratic twists by: -4 -3 |