Atkin-Lehner |
3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175q |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2833920 |
Modular degree for the optimal curve |
Δ |
-1941502402810546875 = -1 · 315 · 59 · 13 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -5 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1972508,1067740394] |
[a1,a2,a3,a4,a6] |
Generators |
[982:8869:1] [793:-1688:1] |
Generators of the group modulo torsion |
j |
-54320058140180893696/124256153779875 |
j-invariant |
L |
6.1532896124213 |
L(r)(E,1)/r! |
Ω |
0.26333375118978 |
Real period |
R |
0.19472404583773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235f1 |
Quadratic twists by: 5 |