Atkin-Lehner |
2+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398a |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-12836068324352 = -1 · 210 · 72 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 6 13+ -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2369,177013] |
[a1,a2,a3,a4,a6] |
Generators |
[66:527:1] |
Generators of the group modulo torsion |
j |
-304821217/2659328 |
j-invariant |
L |
4.7536223772022 |
L(r)(E,1)/r! |
Ω |
0.60733668971393 |
Real period |
R |
1.9567491827546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000193923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742g1 |
Quadratic twists by: 13 |