Atkin-Lehner |
2+ 3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030h |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
136499008915200 = 28 · 3 · 52 · 17 · 535 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 4 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1897493,1005888608] |
[a1,a2,a3,a4,a6] |
Generators |
[21009:11954:27] |
Generators of the group modulo torsion |
j |
755551253422202598171721/136499008915200 |
j-invariant |
L |
6.1237050756817 |
L(r)(E,1)/r! |
Ω |
0.4592921828258 |
Real period |
R |
0.66664590696989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81090bd1 |
Quadratic twists by: -3 |