Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123284a |
Isogeny class |
Conductor |
123284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
116035829087589712 = 24 · 714 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135436,-9972039] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:2499:1] |
Generators of the group modulo torsion |
j |
145954619670528/61643017093 |
j-invariant |
L |
3.2142730812163 |
L(r)(E,1)/r! |
Ω |
0.25844477623566 |
Real period |
R |
2.0728303823836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17612c1 |
Quadratic twists by: -7 |