Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050a |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
790068082031250 = 2 · 3 · 59 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 7 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23650,-371750] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:260:1] |
Generators of the group modulo torsion |
j |
93632326352929/50564357250 |
j-invariant |
L |
4.0655593927426 |
L(r)(E,1)/r! |
Ω |
0.41012971877899 |
Real period |
R |
2.4782155538189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210w2 |
Quadratic twists by: 5 |