Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400cl |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-3523956714720000 = -1 · 28 · 33 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73233,-8120763] |
[a1,a2,a3,a4,a6] |
Generators |
[451:7098:1] |
Generators of the group modulo torsion |
j |
-332800/27 |
j-invariant |
L |
5.9768614745749 |
L(r)(E,1)/r! |
Ω |
0.14443724261298 |
Real period |
R |
2.2989074916831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400ba1 101400r1 |
Quadratic twists by: 5 13 |