Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102080bc |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
363776 |
Modular degree for the optimal curve |
Δ |
-2825639795000000 = -1 · 26 · 57 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11+ -1 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34829,-519245] |
[a1,a2,a3,a4,a6] |
Generators |
[8908056402849078:207128588764625953:399712938045247] |
Generators of the group modulo torsion |
j |
73005282300368384/44150621796875 |
j-invariant |
L |
7.2820306206861 |
L(r)(E,1)/r! |
Ω |
0.26313097532033 |
Real period |
R |
27.674547292736 |
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 |
102080bj1 51040g1 |
Quadratic twists by: -4 8 |