Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760cn |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-60246982656000 = -1 · 227 · 33 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9333,-137926] |
[a1,a2,a3,a4,a6] |
Generators |
[613:15360:1] |
Generators of the group modulo torsion |
j |
812949929037/544768000 |
j-invariant |
L |
7.5396293110745 |
L(r)(E,1)/r! |
Ω |
0.35467328402615 |
Real period |
R |
0.88574819645617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11970bo1 95760bv2 |
Quadratic twists by: -4 -3 |