Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48300c |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
152208 |
Modular degree for the optimal curve |
Δ |
-28600533754800 = -1 · 24 · 3 · 52 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 4 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7387,-83058] |
[a1,a2,a3,a4,a6] |
j |
111431820247040/71501334387 |
j-invariant |
L |
1.1410570556125 |
L(r)(E,1)/r! |
Ω |
0.38035235199533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300bd1 |
Quadratic twists by: 5 |