Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536d |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-5249857755553307136 = -1 · 29 · 311 · 17 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 4 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,295488,91171656] |
[a1,a2,a3,a4,a6] |
Generators |
[-1094124055346:-479854828679027:52062250904] |
Generators of the group modulo torsion |
j |
5572779082688438776/10253628428815053 |
j-invariant |
L |
3.83404221607 |
L(r)(E,1)/r! |
Ω |
0.16630076753308 |
Real period |
R |
23.054867833412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536bc1 75072bf1 112608bp1 |
Quadratic twists by: -4 8 -3 |