Atkin-Lehner |
2+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850d |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48746880 |
Modular degree for the optimal curve |
Δ |
2.7344270543436E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10521033692,407682682075216] |
[a1,a2,a3,a4,a6] |
j |
8242878914466665907735357674769/175003331477988988713697280 |
j-invariant |
L |
1.2761554559233 |
L(r)(E,1)/r! |
Ω |
0.025523109118468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970h1 |
Quadratic twists by: 5 |