Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14910l |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
98283691406250 = 2 · 34 · 513 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11672,85134] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:611:1] |
Generators of the group modulo torsion |
j |
175880497476668041/98283691406250 |
j-invariant |
L |
3.0447495305913 |
L(r)(E,1)/r! |
Ω |
0.51824299764776 |
Real period |
R |
0.22596687597925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280ck1 44730bt1 74550db1 104370bj1 |
Quadratic twists by: -4 -3 5 -7 |