Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70602l |
Isogeny class |
Conductor |
70602 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-65437436024016 = -1 · 24 · 3 · 7 · 417 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74840,7883702] |
[a1,a2,a3,a4,a6] |
Generators |
[509:9831:1] |
Generators of the group modulo torsion |
j |
-9759185353/13776 |
j-invariant |
L |
4.322367021493 |
L(r)(E,1)/r! |
Ω |
0.61883822174295 |
Real period |
R |
1.7461619492365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1722b1 |
Quadratic twists by: 41 |