Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080v |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
717385702851840000 = 211 · 3 · 54 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-923440,-339423712] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:13650:1] |
Generators of the group modulo torsion |
j |
42522645718007572322/350285987720625 |
j-invariant |
L |
7.2034583121705 |
L(r)(E,1)/r! |
Ω |
0.15408598058573 |
Real period |
R |
5.8437002873234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160g6 75240c6 125400g6 |
Quadratic twists by: -4 -3 5 |