Atkin-Lehner |
11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30899f |
Isogeny class |
Conductor |
30899 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
231504 |
Modular degree for the optimal curve |
Δ |
-36297399509823463 = -1 · 11 · 539 |
Discriminant |
Eigenvalues |
-1 -2 0 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15508,-9197721] |
[a1,a2,a3,a4,a6] |
Generators |
[2304623141252588916235:-7618416341202973301689:9727120714976491393] |
Generators of the group modulo torsion |
j |
-125/11 |
j-invariant |
L |
2.8400854242176 |
L(r)(E,1)/r! |
Ω |
0.16178079497189 |
Real period |
R |
35.110291363214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30899e1 |
Quadratic twists by: 53 |