Atkin-Lehner |
3- 5- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735r |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1778844375 = -1 · 33 · 54 · 7 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-265,2600] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-40:1] |
Generators of the group modulo torsion |
j |
-2058561081361/1778844375 |
j-invariant |
L |
4.8952400816822 |
L(r)(E,1)/r! |
Ω |
1.3619999063902 |
Real period |
R |
0.59902599340856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205r1 |
Quadratic twists by: -3 |