Atkin-Lehner |
2- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760bb |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-1593921712947200 = -1 · 223 · 52 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24077,1273522] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2890:1] |
Generators of the group modulo torsion |
j |
376852050302391/389141043200 |
j-invariant |
L |
3.2478766617407 |
L(r)(E,1)/r! |
Ω |
0.31385244374174 |
Real period |
R |
1.2935524201661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998655225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470a1 |
Quadratic twists by: -4 |