Atkin-Lehner |
3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30525n |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
135680 |
Modular degree for the optimal curve |
Δ |
-7723183210875 = -1 · 34 · 53 · 11 · 375 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 11+ -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-121473,-16255627] |
[a1,a2,a3,a4,a6] |
Generators |
[577:10267:1] |
Generators of the group modulo torsion |
j |
-1585829696729513984/61785465687 |
j-invariant |
L |
3.883913675377 |
L(r)(E,1)/r! |
Ω |
0.12786400591545 |
Real period |
R |
1.5187673996173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575by1 30525ba1 |
Quadratic twists by: -3 5 |