Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008l |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
15724800 |
Modular degree for the optimal curve |
Δ |
-2.9040189973029E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59025296,-174716967312] |
[a1,a2,a3,a4,a6] |
Generators |
[521323326:169360465470:4913] |
Generators of the group modulo torsion |
j |
-22209474551934263403281476/28359560520535708233 |
j-invariant |
L |
7.9283521872637 |
L(r)(E,1)/r! |
Ω |
0.027231826315218 |
Real period |
R |
11.197802863109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504u1 |
Quadratic twists by: -4 |