Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656u |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-233890015057776 = -1 · 24 · 37 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1492,736639] |
[a1,a2,a3,a4,a6] |
Generators |
[15:847:1] |
Generators of the group modulo torsion |
j |
-12967168/8251551 |
j-invariant |
L |
3.4345779016622 |
L(r)(E,1)/r! |
Ω |
0.45102661604785 |
Real period |
R |
1.2691704434075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328e1 121968ci1 3696a1 |
Quadratic twists by: -4 -3 -11 |