Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496m |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-702863917056 = -1 · 214 · 33 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -6 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2952,74736] |
[a1,a2,a3,a4,a6] |
Generators |
[26:122:1] |
Generators of the group modulo torsion |
j |
-694800198793/171597636 |
j-invariant |
L |
2.141169028653 |
L(r)(E,1)/r! |
Ω |
0.86151620698457 |
Real period |
R |
0.414224946533 |
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 |
2562h1 81984ck1 61488bf1 |
Quadratic twists by: -4 8 -3 |