Atkin-Lehner |
2+ 3+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712d |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
535040 |
Modular degree for the optimal curve |
Δ |
-2819478953290752 = -1 · 210 · 319 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -2 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33608,-961472] |
[a1,a2,a3,a4,a6] |
Generators |
[51444:966196:729] |
Generators of the group modulo torsion |
j |
4099575024567068/2753397415323 |
j-invariant |
L |
8.989025224831 |
L(r)(E,1)/r! |
Ω |
0.25732442391215 |
Real period |
R |
8.7331636323624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56856e1 |
Quadratic twists by: -4 |