Atkin-Lehner |
3+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92463c |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-519994073760651 = -1 · 310 · 77 · 172 · 37 |
Discriminant |
Eigenvalues |
0 3+ 1 7- -5 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18195,-1441735] |
[a1,a2,a3,a4,a6] |
Generators |
[2175:101209:1] |
Generators of the group modulo torsion |
j |
-5662595252224/4419876699 |
j-invariant |
L |
3.5863161039526 |
L(r)(E,1)/r! |
Ω |
0.19884915017767 |
Real period |
R |
1.1272100289655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209f1 |
Quadratic twists by: -7 |