Atkin-Lehner |
3+ 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725j |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
240192 |
Modular degree for the optimal curve |
Δ |
-35368072875 = -1 · 36 · 53 · 173 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 6 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13668,619688] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-230:1] |
Generators of the group modulo torsion |
j |
-2259229673885696/282944583 |
j-invariant |
L |
2.8161097407999 |
L(r)(E,1)/r! |
Ω |
1.1168555819963 |
Real period |
R |
0.21012189428388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725v1 |
Quadratic twists by: 5 |