Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124930l |
Isogeny class |
Conductor |
124930 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
1920000 |
Modular degree for the optimal curve |
Δ |
-142725029200000000 = -1 · 210 · 58 · 135 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80775,20203657] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-3467:1] |
Generators of the group modulo torsion |
j |
-60650105487720241/148517200000000 |
j-invariant |
L |
5.8332433007747 |
L(r)(E,1)/r! |
Ω |
0.2890312420786 |
Real period |
R |
0.050455127505816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124930i1 |
Quadratic twists by: -31 |