Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600l |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-3021955593750000 = -1 · 24 · 39 · 59 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10125,-2615625] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2125:1] |
Generators of the group modulo torsion |
j |
186624/4913 |
j-invariant |
L |
5.0881831091758 |
L(r)(E,1)/r! |
Ω |
0.21780844383469 |
Real period |
R |
0.97336735810803 |
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 |
61200u1 30600br1 30600bq1 |
Quadratic twists by: -4 -3 5 |