Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9310t |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-40057131520 = -1 · 29 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,848,1299] |
[a1,a2,a3,a4,a6] |
Generators |
[9:93:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
6.5278602963827 |
L(r)(E,1)/r! |
Ω |
0.70018352222456 |
Real period |
R |
0.51794835759972 |
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 |
74480ce1 83790bp1 46550s1 1330h1 |
Quadratic twists by: -4 -3 5 -7 |