Atkin-Lehner |
5+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49025d |
Isogeny class |
Conductor |
49025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
6724180908203125 = 513 · 37 · 533 |
Discriminant |
Eigenvalues |
-1 -1 5+ 2 -3 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2875338,-1877836094] |
[a1,a2,a3,a4,a6] |
j |
168255940844161919449/430347578125 |
j-invariant |
L |
0.2318768495458 |
L(r)(E,1)/r! |
Ω |
0.11593842454069 |
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 |
9805a1 |
Quadratic twists by: 5 |