Atkin-Lehner |
2- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bj |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
102960 |
Modular degree for the optimal curve |
Δ |
-6306757160 = -1 · 23 · 5 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- 4 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1515,-23143] |
[a1,a2,a3,a4,a6] |
Generators |
[101781388:1384208555:493039] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
15.722588965184 |
L(r)(E,1)/r! |
Ω |
0.38224511772791 |
Real period |
R |
13.710738846364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
890d1 |
Quadratic twists by: -11 |