Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960eb |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-22203777024000 = -1 · 217 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134787,19048066] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-130:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
7.3097326649658 |
L(r)(E,1)/r! |
Ω |
0.64705138515201 |
Real period |
R |
0.94141578761098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12870y1 11440l1 |
Quadratic twists by: -4 -3 |