Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432y |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-29602603008 = -1 · 213 · 33 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-6862] |
[a1,a2,a3,a4,a6] |
Generators |
[31:198:1] |
Generators of the group modulo torsion |
j |
144703125/267674 |
j-invariant |
L |
6.4173991794534 |
L(r)(E,1)/r! |
Ω |
0.61635883652274 |
Real period |
R |
2.6029476658673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4554a1 36432s2 |
Quadratic twists by: -4 -3 |