Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970bs |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-40309220385280 = -1 · 29 · 5 · 76 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8625,430415] |
[a1,a2,a3,a4,a6] |
Generators |
[15:544:1] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
16.701055495145 |
L(r)(E,1)/r! |
Ω |
0.59882049781603 |
Real period |
R |
1.032959978355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530f1 |
Quadratic twists by: -7 |