Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1230g |
Isogeny class |
Conductor |
1230 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-99630 = -1 · 2 · 35 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,15] |
[a1,a2,a3,a4,a6] |
j |
-1/99630 |
j-invariant |
L |
2.6740407180211 |
L(r)(E,1)/r! |
Ω |
2.6740407180211 |
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 |
9840bb1 39360bd1 3690e1 6150q1 |
Quadratic twists by: -4 8 -3 5 |