Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950a |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20885760 |
Modular degree for the optimal curve |
Δ |
-3.3265136143815E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28373425,65710027125] |
[a1,a2,a3,a4,a6] |
Generators |
[9003101702:1124641360457:2352637] |
Generators of the group modulo torsion |
j |
44871916070975/59088768912 |
j-invariant |
L |
3.7689734410794 |
L(r)(E,1)/r! |
Ω |
0.053488323472691 |
Real period |
R |
17.615870139413 |
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 |
124950ir1 124950cz1 |
Quadratic twists by: 5 -7 |