Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90354b |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-526417583472 = -1 · 24 · 310 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11979,-510867] |
[a1,a2,a3,a4,a6] |
j |
-3753503985421/10392624 |
j-invariant |
L |
1.8250621641696 |
L(r)(E,1)/r! |
Ω |
0.22813277088066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90354l1 |
Quadratic twists by: 37 |