Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910f |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-177566746273560000 = -1 · 26 · 312 · 54 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,125423,-10844459] |
[a1,a2,a3,a4,a6] |
Generators |
[87:814:1] |
Generators of the group modulo torsion |
j |
218197542620630177639/177566746273560000 |
j-invariant |
L |
2.5990066396817 |
L(r)(E,1)/r! |
Ω |
0.17777107161126 |
Real period |
R |
1.8274954806519 |
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 |
119280cn1 44730bh1 74550dn1 104370bq1 |
Quadratic twists by: -4 -3 5 -7 |