Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200f |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-8.6874380094797E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3640950,-3026804625] |
[a1,a2,a3,a4,a6] |
Generators |
[3630169807128606719746046895365:-291064771657055623191920407882450:517874676577639024309314299] |
Generators of the group modulo torsion |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
5.2432991023938 |
L(r)(E,1)/r! |
Ω |
0.054163232013278 |
Real period |
R |
48.402753191579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12600e1 100800it1 25200c1 5040c1 |
Quadratic twists by: -4 8 -3 5 |