Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445o |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-5.9967952486421E+20 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-884818,-1221340987] |
[a1,a2,a3,a4,a6] |
Generators |
[212863901110789006466798236:90031174920277824348000536361:1187093668733831807551] |
Generators of the group modulo torsion |
j |
-5764801/45125 |
j-invariant |
L |
5.6993140930833 |
L(r)(E,1)/r! |
Ω |
0.068654794171187 |
Real period |
R |
41.507036485117 |
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 |
88445bc1 4655e1 |
Quadratic twists by: -7 -19 |