Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1830h |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-324179010 = -1 · 2 · 312 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25,857] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/324179010 |
j-invariant |
L |
2.8016652746787 |
L(r)(E,1)/r! |
Ω |
1.4008326373394 |
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 |
14640bm1 58560ba1 5490g1 9150k1 |
Quadratic twists by: -4 8 -3 5 |