Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082h |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-99124265899524096 = -1 · 220 · 32 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,76228,-12768048] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1460:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
2.6857213895325 |
L(r)(E,1)/r! |
Ω |
0.17546109961957 |
Real period |
R |
1.9133310712144 |
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 |
40656cg1 15246br1 127050he1 35574be1 |
Quadratic twists by: -4 -3 5 -7 |