Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
127308h |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2291328 |
Modular degree for the optimal curve |
Δ |
-850088815781670144 = -1 · 28 · 33 · 1037 |
Discriminant |
Eigenvalues |
2- 3- -1 0 0 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2761876,-1768143484] |
[a1,a2,a3,a4,a6] |
Generators |
[2300:63654:1] [47675:10403346:1] |
Generators of the group modulo torsion |
j |
-7622072656/2781 |
j-invariant |
L |
13.418698051517 |
L(r)(E,1)/r! |
Ω |
0.058554327390411 |
Real period |
R |
6.3657398055812 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1236a1 |
Quadratic twists by: -103 |