Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282p |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-19059725303808 = -1 · 219 · 3 · 76 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-138157,19754984] |
[a1,a2,a3,a4,a6] |
j |
-2478846508717753/162004992 |
j-invariant |
L |
1.3040132964215 |
L(r)(E,1)/r! |
Ω |
0.65200664820975 |
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 |
90846dn1 618b1 |
Quadratic twists by: -3 -7 |