Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bc |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
-5.6940617496087E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11- 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2584042,-3260385682] |
[a1,a2,a3,a4,a6] |
Generators |
[1492:62562:1] |
Generators of the group modulo torsion |
j |
976994704420507648/2915359615799631 |
j-invariant |
L |
2.6434796831597 |
L(r)(E,1)/r! |
Ω |
0.069222463156848 |
Real period |
R |
0.21215653947094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75075bx1 |
Quadratic twists by: 5 |