Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550v |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
302080 |
Modular degree for the optimal curve |
Δ |
-6553003936500 = -1 · 22 · 33 · 53 · 7 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7407,276401] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-207:1] |
Generators of the group modulo torsion |
j |
-13317108849927/1941630796 |
j-invariant |
L |
4.03682156158 |
L(r)(E,1)/r! |
Ω |
0.7257846652063 |
Real period |
R |
0.13905024910813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dq1 116550ds1 |
Quadratic twists by: -3 5 |