Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840d |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-25266088960 = -1 · 210 · 5 · 7 · 893 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 1 6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4536,119360] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1068:1] |
Generators of the group modulo torsion |
j |
-10081812902116/24673915 |
j-invariant |
L |
9.2084499465583 |
L(r)(E,1)/r! |
Ω |
1.19624489536 |
Real period |
R |
0.64148305405952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920e1 |
Quadratic twists by: -4 |