Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370cu |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-935025180672000 = -1 · 222 · 3 · 53 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4465,1468565] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:968:1] [-37:1138:1] |
Generators of the group modulo torsion |
j |
2003711812543/190316544000 |
j-invariant |
L |
13.706041245172 |
L(r)(E,1)/r! |
Ω |
0.38049785928948 |
Real period |
R |
0.54577781852023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370da1 |
Quadratic twists by: 17 |