Atkin-Lehner |
2+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22960f |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6228800701045216000 = -1 · 28 · 53 · 715 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-562905,202283525] |
[a1,a2,a3,a4,a6] |
Generators |
[332:7203:1] |
Generators of the group modulo torsion |
j |
-77053050549904731136/24331252738457875 |
j-invariant |
L |
8.3951036123157 |
L(r)(E,1)/r! |
Ω |
0.22546270282537 |
Real period |
R |
0.82744443188885 |
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 |
11480f1 91840bc1 114800f1 |
Quadratic twists by: -4 8 5 |