Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jw |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-427280535894870000 = -1 · 24 · 32 · 54 · 715 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,188242,999963] |
[a1,a2,a3,a4,a6] |
Generators |
[2469:117649:27] |
Generators of the group modulo torsion |
j |
627021958400/363182463 |
j-invariant |
L |
8.8053925421496 |
L(r)(E,1)/r! |
Ω |
0.17871279848424 |
Real period |
R |
2.0529663182517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700s2 58800ft2 8400bq2 |
Quadratic twists by: -4 5 -7 |