Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300s |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-2572306572000000 = -1 · 28 · 3 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 11- 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-621133,188642137] |
[a1,a2,a3,a4,a6] |
Generators |
[467:450:1] |
Generators of the group modulo torsion |
j |
-30908416/3 |
j-invariant |
L |
5.9575593766988 |
L(r)(E,1)/r! |
Ω |
0.43705859137029 |
Real period |
R |
2.2718385644129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900cv1 1452h1 36300t1 |
Quadratic twists by: -3 5 -11 |