Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568f |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1619887603536384 = -1 · 29 · 3 · 75 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 3 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18984,-2176188] |
[a1,a2,a3,a4,a6] |
Generators |
[21062440:443108198:42875] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
7.7951708935455 |
L(r)(E,1)/r! |
Ω |
0.19058941482466 |
Real period |
R |
10.225083751439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568cv1 8736t1 |
Quadratic twists by: -4 13 |