Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920br |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
632513605996417600 = 26 · 52 · 712 · 134 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1893997,-1002538236] |
[a1,a2,a3,a4,a6] |
Generators |
[30393063456:2492924056350:4330747] |
Generators of the group modulo torsion |
j |
99791455802821056/84004327225 |
j-invariant |
L |
7.4525374471243 |
L(r)(E,1)/r! |
Ω |
0.12869944675732 |
Real period |
R |
14.476630689303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006214 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101920t1 14560j1 |
Quadratic twists by: -4 -7 |