Atkin-Lehner |
2+ 3+ 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194b |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1.4592656603199E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3828292,2219707600] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:47237:1] |
Generators of the group modulo torsion |
j |
6204961010497754063662921/1459265660319887327232 |
j-invariant |
L |
2.1480449767654 |
L(r)(E,1)/r! |
Ω |
0.14230799390565 |
Real period |
R |
3.7735845292527 |
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 |
75582bg1 |
Quadratic twists by: -3 |