Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710z |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
308424729600000000 = 216 · 32 · 58 · 132 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-304330,58709975] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:4803:1] |
Generators of the group modulo torsion |
j |
3117152856042182524321/308424729600000000 |
j-invariant |
L |
7.5131324401596 |
L(r)(E,1)/r! |
Ω |
0.29764010705176 |
Real period |
R |
1.5776461786727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
104130n2 |
Quadratic twists by: -3 |