Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670m |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-15381554497344000 = -1 · 29 · 32 · 53 · 76 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 7 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3357,-5968899] |
[a1,a2,a3,a4,a6] |
Generators |
[237:2454:1] |
Generators of the group modulo torsion |
j |
-35578826569/130741056000 |
j-invariant |
L |
5.004012460199 |
L(r)(E,1)/r! |
Ω |
0.17844491562991 |
Real period |
R |
2.3368614142089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830c2 |
Quadratic twists by: -7 |