Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400ck |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
-3.976687264875E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 13- -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7103633,-7347858363] |
[a1,a2,a3,a4,a6] |
Generators |
[42427:8721250:1] |
Generators of the group modulo torsion |
j |
-934577152/9375 |
j-invariant |
L |
4.7148126266378 |
L(r)(E,1)/r! |
Ω |
0.046210394634127 |
Real period |
R |
6.3768290925887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280n1 101400q1 |
Quadratic twists by: 5 13 |