Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310b |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-19580400 = -1 · 24 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:73:8] [0:14:1] |
Generators of the group modulo torsion |
j |
108531333/725200 |
j-invariant |
L |
5.3471747069999 |
L(r)(E,1)/r! |
Ω |
1.5737920427049 |
Real period |
R |
0.84940935045817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310bh1 116550de1 |
Quadratic twists by: -3 5 |