Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786p |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-1484306415016074 = -1 · 2 · 36 · 13 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66753,-6875537] |
[a1,a2,a3,a4,a6] |
Generators |
[38425945848378:4825188257769247:2416893688] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
6.2066578399687 |
L(r)(E,1)/r! |
Ω |
0.1481180564515 |
Real period |
R |
20.951725902511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754g1 5382e1 |
Quadratic twists by: -3 -23 |