Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8526d |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-163767408 = -1 · 24 · 3 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24,624] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] [-1:25:1] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
3.4141901110445 |
L(r)(E,1)/r! |
Ω |
1.3943016997738 |
Real period |
R |
1.2243369249277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208cm1 25578bu1 174d1 |
Quadratic twists by: -4 -3 -7 |