Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690b |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.58295200584E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7194124,-7529513634] |
[a1,a2,a3,a4,a6] |
Generators |
[37210341:1543038617:9261] |
Generators of the group modulo torsion |
j |
-16048965315233521/256572640900 |
j-invariant |
L |
1.9813444486104 |
L(r)(E,1)/r! |
Ω |
0.046048200017724 |
Real period |
R |
10.756904981344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520k4 123210dj4 68450y4 370d4 |
Quadratic twists by: -4 -3 5 37 |