Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650h |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-589925700 = -1 · 22 · 33 · 52 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1260,16740] |
[a1,a2,a3,a4,a6] |
Generators |
[26:36:1] |
Generators of the group modulo torsion |
j |
-8860001331505/23597028 |
j-invariant |
L |
3.3904905918927 |
L(r)(E,1)/r! |
Ω |
1.6368443636675 |
Real period |
R |
0.20713579538472 |
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 |
109200fi1 40950en1 13650cw1 95550dr1 |
Quadratic twists by: -4 -3 5 -7 |