Atkin-Lehner |
5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30685a |
Isogeny class |
Conductor |
30685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8497662255625 = -1 · 54 · 172 · 196 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,141226] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-376:1] |
Generators of the group modulo torsion |
j |
-4826809/180625 |
j-invariant |
L |
1.8219561236531 |
L(r)(E,1)/r! |
Ω |
0.61160603991664 |
Real period |
R |
1.4894850645209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85a2 |
Quadratic twists by: -19 |