Atkin-Lehner |
3+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725t |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-102902310952546875 = -1 · 3 · 56 · 72 · 119 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,94117,10678043] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1512:1] |
Generators of the group modulo torsion |
j |
5900696781553664/6585747900963 |
j-invariant |
L |
4.3446012626893 |
L(r)(E,1)/r! |
Ω |
0.22319622856581 |
Real period |
R |
0.54070523003727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389e1 |
Quadratic twists by: 5 |