Atkin-Lehner |
2- 3+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030bd |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-500461977600000000 = -1 · 220 · 33 · 58 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-637172,198860119] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:19021:1] |
Generators of the group modulo torsion |
j |
-1059569277871724070723/18535628800000000 |
j-invariant |
L |
12.445193053206 |
L(r)(E,1)/r! |
Ω |
0.29462849811214 |
Real period |
R |
0.26400180935006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030a1 |
Quadratic twists by: -3 |