Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350u |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-174260160000000 = -1 · 212 · 38 · 57 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12708,-318384] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1419:1] |
Generators of the group modulo torsion |
j |
19924551431/15298560 |
j-invariant |
L |
2.6137250385797 |
L(r)(E,1)/r! |
Ω |
0.31865474023316 |
Real period |
R |
4.1011865015174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450y1 7470o1 |
Quadratic twists by: -3 5 |