Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810m |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
33073920 |
Modular degree for the optimal curve |
Δ |
-6.1239224290627E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70917583,-441160912877] |
[a1,a2,a3,a4,a6] |
Generators |
[186547:80393794:1] |
Generators of the group modulo torsion |
j |
-109264302241400105173004689/169637740417250683593750 |
j-invariant |
L |
2.6822404093353 |
L(r)(E,1)/r! |
Ω |
0.024664943559729 |
Real period |
R |
6.0415040360694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810da1 |
Quadratic twists by: -19 |