Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cb |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1807958845440000 = 214 · 33 · 54 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30861,-424317] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:764:1] |
Generators of the group modulo torsion |
j |
661618760280353/367994880000 |
j-invariant |
L |
8.9999286434164 |
L(r)(E,1)/r! |
Ω |
0.38631074055525 |
Real period |
R |
0.55469339293953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370di1 |
Quadratic twists by: 17 |