Atkin-Lehner |
2+ 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650n |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-306802508800000000 = -1 · 216 · 58 · 17 · 893 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,112174,-22375452] |
[a1,a2,a3,a4,a6] |
Generators |
[13101:1493481:1] |
Generators of the group modulo torsion |
j |
399618755234375/785414422528 |
j-invariant |
L |
2.1497448789851 |
L(r)(E,1)/r! |
Ω |
0.15991998136218 |
Real period |
R |
6.7213141909162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650t1 |
Quadratic twists by: 5 |