Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712p |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5652480 |
Modular degree for the optimal curve |
Δ |
4337808176889741312 = 214 · 39 · 115 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5839452,-5430406320] |
[a1,a2,a3,a4,a6] |
j |
68285541719739888/13451140571 |
j-invariant |
L |
1.9424138343954 |
L(r)(E,1)/r! |
Ω |
0.097120668937151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cw1 13464a1 107712h1 |
Quadratic twists by: -4 8 -3 |