Atkin-Lehner |
2+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
11330b |
Isogeny class |
Conductor |
11330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-29440497575526400 = -1 · 233 · 52 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 11- 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1999040,1088409600] |
[a1,a2,a3,a4,a6] |
j |
-883462840184880403984089/29440497575526400 |
j-invariant |
L |
2.0874808701588 |
L(r)(E,1)/r! |
Ω |
0.34791347835981 |
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 |
90640j1 101970ca1 56650w1 124630p1 |
Quadratic twists by: -4 -3 5 -11 |