Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430b |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1276800 |
Modular degree for the optimal curve |
Δ |
160404480000000000 = 219 · 32 · 510 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136008,1136448] |
[a1,a2,a3,a4,a6] |
Generators |
[-2818:20159:8] [-69:3228:1] |
Generators of the group modulo torsion |
j |
79931514383242609/46080000000000 |
j-invariant |
L |
7.1329396743264 |
L(r)(E,1)/r! |
Ω |
0.27537589995294 |
Real period |
R |
6.4756390028081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430q1 |
Quadratic twists by: -59 |