Atkin-Lehner |
2- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113900h |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
102720 |
Modular degree for the optimal curve |
Δ |
-605093750000 = -1 · 24 · 59 · 172 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- -1 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-458,-37463] |
[a1,a2,a3,a4,a6] |
Generators |
[42:125:1] [48:221:1] |
Generators of the group modulo torsion |
j |
-340736/19363 |
j-invariant |
L |
8.7980452081159 |
L(r)(E,1)/r! |
Ω |
0.40227001638242 |
Real period |
R |
1.822582852068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113900j1 |
Quadratic twists by: 5 |