Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270d |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
804384 |
Modular degree for the optimal curve |
Δ |
-2.0196786796593E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-676040,-716274760] |
[a1,a2,a3,a4,a6] |
Generators |
[1783:60299:1] |
Generators of the group modulo torsion |
j |
-5573207889/32941720 |
j-invariant |
L |
3.1963790989347 |
L(r)(E,1)/r! |
Ω |
0.074527260878691 |
Real period |
R |
6.1269605266369 |
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 |
126350ch1 25270p1 |
Quadratic twists by: 5 -19 |