Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
8610o |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
130769024400 = 24 · 34 · 52 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2510,-46213] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:61:1] |
Generators of the group modulo torsion |
j |
1748862601244641/130769024400 |
j-invariant |
L |
5.8513755930938 |
L(r)(E,1)/r! |
Ω |
0.67768527308282 |
Real period |
R |
1.0792944426982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880cq2 25830l2 43050o2 60270bg2 |
Quadratic twists by: -4 -3 5 -7 |