Atkin-Lehner |
2+ 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730l |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12870144 |
Modular degree for the optimal curve |
Δ |
7.1476677379739E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 3 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32490495,-70104160179] |
[a1,a2,a3,a4,a6] |
j |
5203135970846243759700721/98047568422138968000 |
j-invariant |
L |
3.0387761146389 |
L(r)(E,1)/r! |
Ω |
0.063307835549064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20910o1 |
Quadratic twists by: -3 |