Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425bb |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
38581470703125 = 36 · 59 · 73 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -3 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-274125,55241406] |
[a1,a2,a3,a4,a6] |
Generators |
[-601:1705:1] [1650:21871:8] |
Generators of the group modulo torsion |
j |
1599970881536/27097 |
j-invariant |
L |
6.2394251313474 |
L(r)(E,1)/r! |
Ω |
0.5942044844614 |
Real period |
R |
0.87503899465943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999918016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825f1 124425u1 |
Quadratic twists by: -3 5 |