Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075b |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
684682994112890625 = 32 · 58 · 417 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-253025,-28653000] |
[a1,a2,a3,a4,a6] |
Generators |
[76820:2355215:64] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
6.2424202654703 |
L(r)(E,1)/r! |
Ω |
0.21983988189032 |
Real period |
R |
7.0988260226397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215e1 3075i1 |
Quadratic twists by: 5 41 |