Atkin-Lehner |
2- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
107900m |
Isogeny class |
Conductor |
107900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99360 |
Modular degree for the optimal curve |
Δ |
-33718750000 = -1 · 24 · 59 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 2 5- -1 -6 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1333,21162] |
[a1,a2,a3,a4,a6] |
Generators |
[186:-375:8] [678:17616:1] |
Generators of the group modulo torsion |
j |
-8388608/1079 |
j-invariant |
L |
14.980678579387 |
L(r)(E,1)/r! |
Ω |
1.1295250188167 |
Real period |
R |
6.6314062677578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107900l1 |
Quadratic twists by: 5 |