Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850s |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-4113848368566406250 = -1 · 2 · 59 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11- 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58998150,-174448396250] |
[a1,a2,a3,a4,a6] |
Generators |
[1737975:436783475:27] |
Generators of the group modulo torsion |
j |
-820470116876114809/148618250 |
j-invariant |
L |
2.4317581625645 |
L(r)(E,1)/r! |
Ω |
0.027237042902938 |
Real period |
R |
7.44010697266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20570h1 9350t1 |
Quadratic twists by: 5 -11 |