Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22960d |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-5740000000 = -1 · 28 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-841,9795] |
[a1,a2,a3,a4,a6] |
Generators |
[14:31:1] |
Generators of the group modulo torsion |
j |
-257269341184/22421875 |
j-invariant |
L |
3.9432001419445 |
L(r)(E,1)/r! |
Ω |
1.3209381706984 |
Real period |
R |
2.9851511822539 |
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 |
11480e1 91840bs1 114800k1 |
Quadratic twists by: -4 8 5 |