Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430cs |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
36556800 |
Modular degree for the optimal curve |
Δ |
4.9635110205437E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-419205789,3301977290373] |
[a1,a2,a3,a4,a6] |
Generators |
[-15741:2457405:1] |
Generators of the group modulo torsion |
j |
276946345316184817447/168724869939200 |
j-invariant |
L |
3.8264052949309 |
L(r)(E,1)/r! |
Ω |
0.075995336362313 |
Real period |
R |
2.5175263861645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270l1 101430bq1 |
Quadratic twists by: -3 -7 |