Atkin-Lehner |
5- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20405c |
Isogeny class |
Conductor |
20405 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-12750189498236575 = -1 · 52 · 7 · 1110 · 532 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43443,-6458119] |
[a1,a2,a3,a4,a6] |
Generators |
[745:18987:1] |
Generators of the group modulo torsion |
j |
-9067107531985652521/12750189498236575 |
j-invariant |
L |
3.3686857465894 |
L(r)(E,1)/r! |
Ω |
0.15729913228926 |
Real period |
R |
2.1415793574721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102025f1 |
Quadratic twists by: 5 |