Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270h |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-884450 = -1 · 2 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -5 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-21:1] |
Generators of the group modulo torsion |
j |
-130321/2450 |
j-invariant |
L |
2.5105174530452 |
L(r)(E,1)/r! |
Ω |
1.2083583978883 |
Real period |
R |
0.51940662998503 |
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 |
126350cw1 25270v1 |
Quadratic twists by: 5 -19 |