Atkin-Lehner |
5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
20335c |
Isogeny class |
Conductor |
20335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-6103041875 = -1 · 54 · 76 · 83 |
Discriminant |
Eigenvalues |
1 -3 5+ 7- 3 6 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5350,152011] |
[a1,a2,a3,a4,a6] |
Generators |
[38:31:1] |
Generators of the group modulo torsion |
j |
-143960212521/51875 |
j-invariant |
L |
3.6580916509832 |
L(r)(E,1)/r! |
Ω |
1.3181015838001 |
Real period |
R |
1.3876364674553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101675j1 415a1 |
Quadratic twists by: 5 -7 |