Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270p |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-4292997892120 = -1 · 23 · 5 · 77 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1873,104921] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:346:1] |
Generators of the group modulo torsion |
j |
-5573207889/32941720 |
j-invariant |
L |
7.5423082400979 |
L(r)(E,1)/r! |
Ω |
0.67163124045944 |
Real period |
R |
0.53475406384769 |
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 |
126350b1 25270d1 |
Quadratic twists by: 5 -19 |