Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850r |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-684722362500000 = -1 · 25 · 39 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120867,-16192459] |
[a1,a2,a3,a4,a6] |
Generators |
[1813:74734:1] |
Generators of the group modulo torsion |
j |
-25397889795/89056 |
j-invariant |
L |
3.0513322364397 |
L(r)(E,1)/r! |
Ω |
0.12799744114326 |
Real period |
R |
5.9597523614781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850dq1 113850dn1 |
Quadratic twists by: -3 5 |