Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
28280a |
Isogeny class |
Conductor |
28280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-13857200 = -1 · 24 · 52 · 73 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-271,1820] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:35:1] [11:-7:1] |
Generators of the group modulo torsion |
j |
-138074404864/866075 |
j-invariant |
L |
6.666257621621 |
L(r)(E,1)/r! |
Ω |
2.2427567457768 |
Real period |
R |
0.24769581877948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56560a1 |
Quadratic twists by: -4 |