Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bk |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
383728213764000000 = 28 · 32 · 56 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29498001,-61677036177] |
[a1,a2,a3,a4,a6] |
Generators |
[8637:568344:1] |
Generators of the group modulo torsion |
j |
24127550372072534688001/3261636000000 |
j-invariant |
L |
7.0701670922055 |
L(r)(E,1)/r! |
Ω |
0.064781561433192 |
Real period |
R |
6.821160735382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000086 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030bc2 |
Quadratic twists by: -7 |