Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850k |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.43652696609E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-574902000000,-167779719069696000] |
[a1,a2,a3,a4,a6] |
Generators |
[5074314871516121102603173199267881375741947826596515582105:-7803592036059269684043773540823987829992045924939015711455115:1945278383185562874414555033671356172043485488353349] |
Generators of the group modulo torsion |
j |
1344884983999976257371879868235520001/4759377258297600000000 |
j-invariant |
L |
3.8964000928146 |
L(r)(E,1)/r! |
Ω |
0.0054827835337534 |
Real period |
R |
88.832617338149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23370x4 |
Quadratic twists by: 5 |