Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800a |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-658800 = -1 · 24 · 33 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 3 3 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-34560/61 |
j-invariant |
L |
7.3671090212488 |
L(r)(E,1)/r! |
Ω |
1.1449742260819 |
Real period |
R |
1.6085752929632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109800bd1 109800bi1 |
Quadratic twists by: -3 5 |