Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350j |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-34222500000 = -1 · 25 · 34 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 3 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123750,-16807500] |
[a1,a2,a3,a4,a6] |
Generators |
[4455:294210:1] |
Generators of the group modulo torsion |
j |
-79370312059129/12960 |
j-invariant |
L |
2.9213513421899 |
L(r)(E,1)/r! |
Ω |
0.12727197862726 |
Real period |
R |
5.7384024623863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050fe1 5070x1 25350cb1 |
Quadratic twists by: -3 5 13 |