Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080p |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-113356800000000000 = -1 · 221 · 33 · 511 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 0 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159852,-29453904] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:40000:1] [582:8640:1] |
Generators of the group modulo torsion |
j |
-63822564229347/16015625000 |
j-invariant |
L |
10.772744222153 |
L(r)(E,1)/r! |
Ω |
0.11782720111532 |
Real period |
R |
1.0389582951914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dn1 3690m1 118080j1 |
Quadratic twists by: -4 8 -3 |