Atkin-Lehner |
2+ 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310q |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-131550212505600 = -1 · 214 · 311 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11754,-735372] |
[a1,a2,a3,a4,a6] |
Generators |
[139:480:1] |
Generators of the group modulo torsion |
j |
-246362173188769/180452966400 |
j-invariant |
L |
3.8771382135752 |
L(r)(E,1)/r! |
Ω |
0.22214199510471 |
Real period |
R |
4.3633557578202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770u1 116550ey1 |
Quadratic twists by: -3 5 |