Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cv |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-7385804439552 = -1 · 222 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3873,159039] |
[a1,a2,a3,a4,a6] |
Generators |
[3:384:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
7.2894745040021 |
L(r)(E,1)/r! |
Ω |
0.67382658108318 |
Real period |
R |
0.90150229390915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gb1 3234f1 103488a1 |
Quadratic twists by: -4 8 -7 |