Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bv |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
5.7716194539802E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40041158,97503029688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2447:425250:1] |
Generators of the group modulo torsion |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
6.3938671651337 |
L(r)(E,1)/r! |
Ω |
0.15593806786292 |
Real period |
R |
2.9287575751614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31200bc1 62400eo2 93600s1 6240d1 |
Quadratic twists by: -4 8 -3 5 |