Atkin-Lehner |
2+ 3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
102414l |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-3790859945184 = -1 · 25 · 35 · 136 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15214,727040] |
[a1,a2,a3,a4,a6] |
Generators |
[118:701:1] |
Generators of the group modulo torsion |
j |
-80677568161/785376 |
j-invariant |
L |
5.8979370425835 |
L(r)(E,1)/r! |
Ω |
0.78954985039593 |
Real period |
R |
0.74699995695399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
606f1 |
Quadratic twists by: 13 |