Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050dn |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-214524288000000 = -1 · 213 · 36 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14845,105347] |
[a1,a2,a3,a4,a6] |
Generators |
[139:2130:1] |
Generators of the group modulo torsion |
j |
31764658463/18833408 |
j-invariant |
L |
11.933912642412 |
L(r)(E,1)/r! |
Ω |
0.3422549913517 |
Real period |
R |
0.67054776526036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450b1 3762j1 |
Quadratic twists by: -3 5 |