Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bv |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-5262007237500000 = -1 · 25 · 3 · 58 · 134 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1251263,538219781] |
[a1,a2,a3,a4,a6] |
Generators |
[641:-542:1] |
Generators of the group modulo torsion |
j |
-554637854190420625/13470738528 |
j-invariant |
L |
7.4090469758537 |
L(r)(E,1)/r! |
Ω |
0.39833288716808 |
Real period |
R |
0.31000231274432 |
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 |
99450bs1 33150n1 |
Quadratic twists by: -3 5 |