Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920bl |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-57054367552000000 = -1 · 212 · 56 · 74 · 135 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105905,17515903] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:5460:1] [-374:2225:1] |
Generators of the group modulo torsion |
j |
-13357497407296/5801453125 |
j-invariant |
L |
8.4788333665805 |
L(r)(E,1)/r! |
Ω |
0.33001619564857 |
Real period |
R |
0.071367148688178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920l1 101920ba1 |
Quadratic twists by: -4 -7 |