Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bw |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
7535143384912000000 = 210 · 56 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3684513,2717448031] |
[a1,a2,a3,a4,a6] |
Generators |
[655:23872:1] |
Generators of the group modulo torsion |
j |
1651590939625/2249728 |
j-invariant |
L |
6.3903119994417 |
L(r)(E,1)/r! |
Ω |
0.23424399888516 |
Real period |
R |
0.45467632257053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146f1 78650r1 |
Quadratic twists by: 5 -11 |