Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210bk |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
212474094000 = 24 · 3 · 53 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-471968001,-3946740624177] |
[a1,a2,a3,a4,a6] |
Generators |
[101148489:-18681461232:2197] |
Generators of the group modulo torsion |
j |
98826436705052788075008001/1806000 |
j-invariant |
L |
7.0701670922055 |
L(r)(E,1)/r! |
Ω |
0.032390780716596 |
Real period |
R |
13.642321470764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bc4 |
Quadratic twists by: -7 |