Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120bt |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-8963508715520000000 = -1 · 220 · 57 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 5 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3383201,2398389215] |
[a1,a2,a3,a4,a6] |
Generators |
[1109:3404:1] |
Generators of the group modulo torsion |
j |
-16336812328827892201/34193072187500 |
j-invariant |
L |
7.1232689414223 |
L(r)(E,1)/r! |
Ω |
0.23168076962624 |
Real period |
R |
3.0746052129053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998893694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120e1 31280bb1 |
Quadratic twists by: -4 8 |