Atkin-Lehner |
3+ 5- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42315c |
Isogeny class |
Conductor |
42315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1481025 = 3 · 52 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30855,2073252] |
[a1,a2,a3,a4,a6] |
j |
3248637431871751921/1481025 |
j-invariant |
L |
1.6291427977456 |
L(r)(E,1)/r! |
Ω |
1.6291427976804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126945l1 |
Quadratic twists by: -3 |