Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90354f |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3921408 |
Modular degree for the optimal curve |
Δ |
-3293750333366431488 = -1 · 28 · 32 · 11 · 379 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165677,-91163235] |
[a1,a2,a3,a4,a6] |
Generators |
[2874:150819:1] |
Generators of the group modulo torsion |
j |
-3869893/25344 |
j-invariant |
L |
1.4078378968605 |
L(r)(E,1)/r! |
Ω |
0.10536324200057 |
Real period |
R |
6.6808778416866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90354s1 |
Quadratic twists by: 37 |