Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135a |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
59827825378125 = 34 · 55 · 78 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10061,-108004] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:220:1] |
Generators of the group modulo torsion |
j |
19539165184/10378125 |
j-invariant |
L |
2.7832188673094 |
L(r)(E,1)/r! |
Ω |
0.50632068453189 |
Real period |
R |
0.91615812940193 |
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 |
90405bh1 30135bd1 |
Quadratic twists by: -3 -7 |