Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400bs |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
2506530847680000 = 29 · 313 · 54 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34275,-403850] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2430:1] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
9.141787483927 |
L(r)(E,1)/r! |
Ω |
0.37766683555043 |
Real period |
R |
1.0085815753149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400ef1 40800cb1 122400ds1 |
Quadratic twists by: -4 -3 5 |