Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152r |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
7634570984685568 = 217 · 72 · 117 · 61 |
Discriminant |
Eigenvalues |
2- 3 4 7- 11- 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1235083,528297530] |
[a1,a2,a3,a4,a6] |
j |
50868882401831553249/1863908931808 |
j-invariant |
L |
10.927243501505 |
L(r)(E,1)/r! |
Ω |
0.39025869678579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394g1 |
Quadratic twists by: -4 |