Atkin-Lehner |
3+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325h |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-754348412109375 = -1 · 38 · 59 · 372 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20862,-624594] |
[a1,a2,a3,a4,a6] |
Generators |
[10598:382849:8] |
Generators of the group modulo torsion |
j |
514114905331/386226387 |
j-invariant |
L |
3.636332799888 |
L(r)(E,1)/r! |
Ω |
0.28275668004937 |
Real period |
R |
6.4301448509668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119325s2 |
Quadratic twists by: 5 |