Atkin-Lehner |
2+ 3+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926f |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
-4606817466057534 = -1 · 2 · 35 · 77 · 135 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20794,3063498] |
[a1,a2,a3,a4,a6] |
Generators |
[97:2402:1] |
Generators of the group modulo torsion |
j |
994271971706244503/4606817466057534 |
j-invariant |
L |
3.9355556765685 |
L(r)(E,1)/r! |
Ω |
0.31180828158877 |
Real period |
R |
2.5243432640824 |
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 |
50778bj1 118482bg1 |
Quadratic twists by: -3 -7 |