Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9400d |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-1767200000000 = -1 · 211 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 5 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-691208,221418412] |
[a1,a2,a3,a4,a6] |
Generators |
[417:2350:1] |
Generators of the group modulo torsion |
j |
-45652085444690/2209 |
j-invariant |
L |
3.4754939515514 |
L(r)(E,1)/r! |
Ω |
0.62591234684031 |
Real period |
R |
0.92544746057393 |
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 |
18800g1 75200br1 84600bw1 9400h1 |
Quadratic twists by: -4 8 -3 5 |