Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440g |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4613345280 = -1 · 212 · 37 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95,-3217] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-108:1] |
Generators of the group modulo torsion |
j |
22906304/1126305 |
j-invariant |
L |
7.8663428231388 |
L(r)(E,1)/r! |
Ω |
0.6583561255724 |
Real period |
R |
0.42673076804284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440l1 98880c1 |
Quadratic twists by: -4 8 |