Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525d |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-515109375 = -1 · 34 · 56 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,137,-844] |
[a1,a2,a3,a4,a6] |
Generators |
[54:382:1] |
Generators of the group modulo torsion |
j |
18191447/32967 |
j-invariant |
L |
3.5572664345727 |
L(r)(E,1)/r! |
Ω |
0.86477793710266 |
Real period |
R |
4.1135027640634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575bd1 1221a1 |
Quadratic twists by: -3 5 |