Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960dd |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-5637677760000000 = -1 · 212 · 36 · 57 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6192,-3607632] |
[a1,a2,a3,a4,a6] |
j |
8792838144/1888046875 |
j-invariant |
L |
1.2081397636758 |
L(r)(E,1)/r! |
Ω |
0.201356574027 |
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 |
6435l1 11440t1 |
Quadratic twists by: -4 -3 |