Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850n |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-779424625000 = -1 · 23 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -3 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1199,-39252] |
[a1,a2,a3,a4,a6] |
Generators |
[214:771:8] |
Generators of the group modulo torsion |
j |
103823/424 |
j-invariant |
L |
3.1463717130415 |
L(r)(E,1)/r! |
Ω |
0.45413857748342 |
Real period |
R |
3.4641099270608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993770551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194o1 2650c1 |
Quadratic twists by: 5 -7 |