Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920l |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
60 |
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 |
[1399:50700:1] |
Generators of the group modulo torsion |
j |
-13357497407296/5801453125 |
j-invariant |
L |
11.344611813596 |
L(r)(E,1)/r! |
Ω |
0.12958695635077 |
Real period |
R |
1.4590732635125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920bl1 101920g1 |
Quadratic twists by: -4 -7 |