Atkin-Lehner |
3+ 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705j |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.211118418111E+25 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80981875,225069238281] |
[a1,a2,a3,a4,a6] |
Generators |
[8125:-321563:1] |
Generators of the group modulo torsion |
j |
499228029522159326101504/102943366973876953125 |
j-invariant |
L |
3.8000192236577 |
L(r)(E,1)/r! |
Ω |
0.067509997321546 |
Real period |
R |
0.46906870275747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10815h2 |
Quadratic twists by: -7 |