Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445bi |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-34598173801625 = -1 · 53 · 79 · 193 |
Discriminant |
Eigenvalues |
1 -3 5- 7- 2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61504,-5862347] |
[a1,a2,a3,a4,a6] |
Generators |
[3726:63307:8] |
Generators of the group modulo torsion |
j |
-92959677/125 |
j-invariant |
L |
4.2444065113605 |
L(r)(E,1)/r! |
Ω |
0.15156829961189 |
Real period |
R |
2.3336050047282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445i1 88445bl1 |
Quadratic twists by: -7 -19 |