Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410s |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
29710140906600000 = 26 · 32 · 55 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-595927,-177121259] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:289:1] |
Generators of the group modulo torsion |
j |
9925899473771/12600000 |
j-invariant |
L |
3.9838054567078 |
L(r)(E,1)/r! |
Ω |
0.17184397044905 |
Real period |
R |
2.3182689775485 |
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 |
76230ds1 127050hb1 25410bz1 |
Quadratic twists by: -3 5 -11 |