Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240t |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-1.0522265575032E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35820552,-82665043504] |
[a1,a2,a3,a4,a6] |
Generators |
[9697:694125:1] |
Generators of the group modulo torsion |
j |
-1702288080319928149504/3523885451171875 |
j-invariant |
L |
5.7388046350312 |
L(r)(E,1)/r! |
Ω |
0.030851950036929 |
Real period |
R |
5.1669745299167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bx1 11360m1 |
Quadratic twists by: -4 -3 |