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 |
Δ |
-149462548480000000 = -1 · 221 · 57 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380923,-92287253] |
[a1,a2,a3,a4,a6] |
Generators |
[715:346:1] |
Generators of the group modulo torsion |
j |
-46905074216911089/1146880000000 |
j-invariant |
L |
7.5423082400979 |
L(r)(E,1)/r! |
Ω |
0.095947320065635 |
Real period |
R |
3.7432784469339 |
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 |
126350b2 25270d2 |
Quadratic twists by: 5 -19 |