Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400b |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4430793248000000 = 211 · 56 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66275,-5733250] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:906:1] [466:8036:1] |
Generators of the group modulo torsion |
j |
1006057824354/138462289 |
j-invariant |
L |
9.351343548422 |
L(r)(E,1)/r! |
Ω |
0.30026826378522 |
Real period |
R |
7.7858241081985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800m4 2296b3 |
Quadratic twists by: -4 5 |