Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400s |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2168588747520000 = -1 · 211 · 33 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 13+ 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35208,3400812] |
[a1,a2,a3,a4,a6] |
j |
-781250/351 |
j-invariant |
L |
2.5974865637306 |
L(r)(E,1)/r! |
Ω |
0.43291440846137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400cy1 7800r1 |
Quadratic twists by: 5 13 |