Atkin-Lehner |
3- 5- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71595f |
Isogeny class |
Conductor |
71595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
-10868625100395 = -1 · 36 · 5 · 375 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -4 -1 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1908,-155338] |
[a1,a2,a3,a4,a6] |
Generators |
[60:418:1] |
Generators of the group modulo torsion |
j |
1053734731776/14908950755 |
j-invariant |
L |
4.9562412203176 |
L(r)(E,1)/r! |
Ω |
0.35239089534427 |
Real period |
R |
3.5161530033721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7955a1 |
Quadratic twists by: -3 |