Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cs |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-1579695360499265625 = -1 · 313 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220270,45479522] |
[a1,a2,a3,a4,a6] |
Generators |
[444:14965:1] |
Generators of the group modulo torsion |
j |
17999471/24057 |
j-invariant |
L |
3.0468845166603 |
L(r)(E,1)/r! |
Ω |
0.18016088309238 |
Real period |
R |
2.114002527607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bs1 4851g1 121275el1 |
Quadratic twists by: -3 5 -7 |