Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7110h |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-69109200 = -1 · 24 · 37 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] [0:20:1] |
Generators of the group modulo torsion |
j |
-1/94800 |
j-invariant |
L |
3.6745953502164 |
L(r)(E,1)/r! |
Ω |
1.5502737611168 |
Real period |
R |
0.14814300231915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56880bi1 2370j1 35550bt1 |
Quadratic twists by: -4 -3 5 |