Atkin-Lehner |
3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195n |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-6537610035 = -1 · 311 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11+ 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1632,-25673] |
[a1,a2,a3,a4,a6] |
j |
-659411697664/8967915 |
j-invariant |
L |
1.5010603129511 |
L(r)(E,1)/r! |
Ω |
0.37526507823763 |
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 |
10065c1 |
Quadratic twists by: -3 |