Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gy |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.78509309952E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20986700,-37003526000] |
[a1,a2,a3,a4,a6] |
Generators |
[325936139384813664:36173469631426515388:23273621768151] |
Generators of the group modulo torsion |
j |
2121328796049/120050 |
j-invariant |
L |
7.2382078037557 |
L(r)(E,1)/r! |
Ω |
0.070536676136373 |
Real period |
R |
25.654057578595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400y4 19600cc3 15680cb3 11200bu4 |
Quadratic twists by: -4 8 5 -7 |