Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ca |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
890880 |
Modular degree for the optimal curve |
Δ |
-2296912898437500 = -1 · 22 · 3 · 59 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22075,2619625] |
[a1,a2,a3,a4,a6] |
Generators |
[251:3476:1] |
Generators of the group modulo torsion |
j |
-5177717/9996 |
j-invariant |
L |
4.6818715444007 |
L(r)(E,1)/r! |
Ω |
0.41073824282642 |
Real period |
R |
2.8496686917243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997866142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950jg1 17850x1 |
Quadratic twists by: 5 -7 |