Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950h |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
865620900156250 = 2 · 57 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3200542,2204656866] |
[a1,a2,a3,a4,a6] |
Generators |
[-3890:484987:8] [839:10043:1] |
Generators of the group modulo torsion |
j |
1972359673792929/470890 |
j-invariant |
L |
7.7483197131248 |
L(r)(E,1)/r! |
Ω |
0.39801354261407 |
Real period |
R |
9.7337387845377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bb2 10850e2 |
Quadratic twists by: 5 -7 |