Atkin-Lehner |
3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28413g |
Isogeny class |
Conductor |
28413 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3721449501 = -1 · 37 · 73 · 112 · 41 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,346,1482] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [0:38:1] |
Generators of the group modulo torsion |
j |
6300872423/5104869 |
j-invariant |
L |
4.7507139887509 |
L(r)(E,1)/r! |
Ω |
0.9030086095945 |
Real period |
R |
0.43841534642028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9471b1 |
Quadratic twists by: -3 |