Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630q |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-1914049059840 = -1 · 210 · 33 · 5 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9380,352037] |
[a1,a2,a3,a4,a6] |
Generators |
[25:353:1] |
Generators of the group modulo torsion |
j |
-6591978481/138240 |
j-invariant |
L |
10.147437981282 |
L(r)(E,1)/r! |
Ω |
0.8318808180065 |
Real period |
R |
0.4066062403645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630c1 |
Quadratic twists by: 61 |