Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410ce |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-200058012000 = -1 · 25 · 310 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1295,-28555] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2338:1] |
Generators of the group modulo torsion |
j |
-1985037003961/1653372000 |
j-invariant |
L |
7.810997423438 |
L(r)(E,1)/r! |
Ω |
0.3843620381162 |
Real period |
R |
0.67739931356737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230be1 127050cu1 25410o1 |
Quadratic twists by: -3 5 -11 |