Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736t |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-335602176 = -1 · 29 · 3 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,-956] |
[a1,a2,a3,a4,a6] |
Generators |
[24:98:1] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
2.7906940007973 |
L(r)(E,1)/r! |
Ω |
0.68717990771098 |
Real period |
R |
0.40610820681489 |
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 |
8736f1 17472bl1 26208r1 61152cf1 |
Quadratic twists by: -4 8 -3 -7 |