Atkin-Lehner |
2+ 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28424a |
Isogeny class |
Conductor |
28424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3611894528 = -1 · 28 · 112 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 11+ 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1009,13013] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:158:1] [61:-418:1] |
Generators of the group modulo torsion |
j |
-444209247232/14108963 |
j-invariant |
L |
5.8412518208192 |
L(r)(E,1)/r! |
Ω |
1.396734815776 |
Real period |
R |
0.17425318663581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56848a1 |
Quadratic twists by: -4 |