Atkin-Lehner |
2+ 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970a |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1488015360 = -1 · 212 · 35 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -5 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52,1872] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
15087533111/1488015360 |
j-invariant |
L |
2.0905738183103 |
L(r)(E,1)/r! |
Ω |
1.1580705363029 |
Real period |
R |
0.90261074467211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71760bp1 26910bi1 44850cc1 116610by1 |
Quadratic twists by: -4 -3 5 13 |