Atkin-Lehner |
3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975l |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1098240 |
Modular degree for the optimal curve |
Δ |
-11671442349609375 = -1 · 39 · 59 · 192 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -6 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37758,-4373209] |
[a1,a2,a3,a4,a6] |
Generators |
[55129162:3941658169:10648] |
Generators of the group modulo torsion |
j |
154854153/303601 |
j-invariant |
L |
7.5676949003471 |
L(r)(E,1)/r! |
Ω |
0.21002267337576 |
Real period |
R |
9.008188176638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997989207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123975r1 123975n1 |
Quadratic twists by: -3 5 |