Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350o |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
4412005101562500 = 22 · 32 · 59 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65575,-5645375] |
[a1,a2,a3,a4,a6] |
j |
3307949/468 |
j-invariant |
L |
1.2046029120204 |
L(r)(E,1)/r! |
Ω |
0.30115072800513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050fr1 25350dg1 1950t1 |
Quadratic twists by: -3 5 13 |