Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3325c |
Isogeny class |
Conductor |
3325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3352926859734921875 = -1 · 57 · 7 · 1910 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ -3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-416508,-136028231] |
[a1,a2,a3,a4,a6] |
Generators |
[14952877181140594:1000491562510383081:3269469435688] |
Generators of the group modulo torsion |
j |
-511416541770305536/214587319023035 |
j-invariant |
L |
6.9056979190018 |
L(r)(E,1)/r! |
Ω |
0.092074322307139 |
Real period |
R |
18.750335994779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200ct2 29925s2 665d2 23275w2 |
Quadratic twists by: -4 -3 5 -7 |