Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150a |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-37800 = -1 · 23 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57,181] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-1:1] |
Generators of the group modulo torsion |
j |
-30642435/56 |
j-invariant |
L |
2.4887260497715 |
L(r)(E,1)/r! |
Ω |
3.6507151626892 |
Real period |
R |
0.34085459134235 |
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 |
25200cv1 100800b1 3150v2 3150bc1 |
Quadratic twists by: -4 8 -3 5 |