Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bw |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-635452784640000000 = -1 · 226 · 33 · 57 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-169730,46896897] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:8703:1] |
Generators of the group modulo torsion |
j |
-1281779604287883/1506258452480 |
j-invariant |
L |
7.6545188429562 |
L(r)(E,1)/r! |
Ω |
0.26121982411587 |
Real period |
R |
0.56351881385605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30150j1 6030a1 |
Quadratic twists by: -3 5 |