Atkin-Lehner |
3- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
100725p |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
585984 |
Modular degree for the optimal curve |
Δ |
-14754638671875 = -1 · 32 · 513 · 17 · 79 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40508,3130019] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:19529:8] |
Generators of the group modulo torsion |
j |
-470475281944576/944296875 |
j-invariant |
L |
19.315197877328 |
L(r)(E,1)/r! |
Ω |
0.70262772293459 |
Real period |
R |
6.8724864026274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145f1 |
Quadratic twists by: 5 |