Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900ba |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-366738576750000 = -1 · 24 · 311 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11400,-793375] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1053:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
6.3439885451259 |
L(r)(E,1)/r! |
Ω |
0.27847747447078 |
Real period |
R |
0.94920731492138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300e1 3276f1 |
Quadratic twists by: -3 5 |