Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410o |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-354414971796732000 = -1 · 25 · 310 · 53 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-156697,37222981] |
[a1,a2,a3,a4,a6] |
Generators |
[655:14374:1] |
Generators of the group modulo torsion |
j |
-1985037003961/1653372000 |
j-invariant |
L |
3.6221604173709 |
L(r)(E,1)/r! |
Ω |
0.27739256203376 |
Real period |
R |
0.72543810411864 |
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 |
76230dm1 127050hw1 25410ce1 |
Quadratic twists by: -3 5 -11 |