Atkin-Lehner |
2- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25970u |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
3257676800 = 210 · 52 · 74 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -1 -5 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-491,3121] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-303:1] [-20:81:1] |
Generators of the group modulo torsion |
j |
5452947409/1356800 |
j-invariant |
L |
7.963125604952 |
L(r)(E,1)/r! |
Ω |
1.3271103623547 |
Real period |
R |
0.10000582004881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850b1 25970w1 |
Quadratic twists by: 5 -7 |