Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050r |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-40520250000000 = -1 · 27 · 35 · 59 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 7 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7550,176500] |
[a1,a2,a3,a4,a6] |
Generators |
[39:710:1] |
Generators of the group modulo torsion |
j |
24363778699/20746368 |
j-invariant |
L |
4.008318109966 |
L(r)(E,1)/r! |
Ω |
0.41846915909058 |
Real period |
R |
4.7892634693276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050co1 |
Quadratic twists by: 5 |