Atkin-Lehner |
2+ 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248g |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
261159113728 = 210 · 195 · 103 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14293,652507] |
[a1,a2,a3,a4,a6] |
j |
315372863488000/255038197 |
j-invariant |
L |
1.9496636084663 |
L(r)(E,1)/r! |
Ω |
0.97483239729316 |
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 |
125248bg1 7828c1 |
Quadratic twists by: -4 8 |