Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3030b |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-757500000 = -1 · 25 · 3 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -2 -1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-253,-2147] |
[a1,a2,a3,a4,a6] |
Generators |
[21:38:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
2.0167820424546 |
L(r)(E,1)/r! |
Ω |
0.58617573019895 |
Real period |
R |
3.4405758180573 |
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 |
24240bg1 96960bo1 9090bc1 15150bk1 |
Quadratic twists by: -4 8 -3 5 |