Atkin-Lehner |
2+ 3+ 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294a |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
3347293166174748672 = 214 · 313 · 74 · 19 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-741891,229356621] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:21973:1] |
Generators of the group modulo torsion |
j |
45159064291706337347257/3347293166174748672 |
j-invariant |
L |
2.3009877749439 |
L(r)(E,1)/r! |
Ω |
0.24585564820115 |
Real period |
R |
4.6795503617366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882bg1 |
Quadratic twists by: -3 |