Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552be |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-428493219081224192 = -1 · 236 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221888,-51165388] |
[a1,a2,a3,a4,a6] |
Generators |
[2076532876:51892485974:2248091] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
6.1421386140164 |
L(r)(E,1)/r! |
Ω |
0.10805993174063 |
Real period |
R |
14.210027979554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194n1 848b1 |
Quadratic twists by: -4 -7 |