Atkin-Lehner |
2+ 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670m |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-209269335240 = -1 · 23 · 36 · 5 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 7 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32022,-2219076] |
[a1,a2,a3,a4,a6] |
Generators |
[188595:7180218:125] |
Generators of the group modulo torsion |
j |
-30867540216409/1778760 |
j-invariant |
L |
5.004012460199 |
L(r)(E,1)/r! |
Ω |
0.17844491562991 |
Real period |
R |
7.0105842426267 |
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 |
1830c1 |
Quadratic twists by: -7 |