Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075g |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40304640 |
Modular degree for the optimal curve |
Δ |
2.0976102261316E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-221157438,-1246669337094] |
[a1,a2,a3,a4,a6] |
Generators |
[22346415034014960:-5732199122025250349:323818116363] |
Generators of the group modulo torsion |
j |
233858751281/4100625 |
j-invariant |
L |
4.0302511993684 |
L(r)(E,1)/r! |
Ω |
0.03919099018051 |
Real period |
R |
25.709041320045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000138134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215g1 126075v1 |
Quadratic twists by: 5 41 |