Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240k |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-1140070021390080 = -1 · 28 · 318 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25737,336778] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4576:1] |
Generators of the group modulo torsion |
j |
10102526216624/6108914295 |
j-invariant |
L |
4.7414632211192 |
L(r)(E,1)/r! |
Ω |
0.29992758184833 |
Real period |
R |
3.9521733799461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080u1 |
Quadratic twists by: -3 |