Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525t |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2911090850830078125 = -1 · 3 · 522 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40651,-82153177] |
[a1,a2,a3,a4,a6] |
j |
-475446909951649/186309814453125 |
j-invariant |
L |
4.1013512864577 |
L(r)(E,1)/r! |
Ω |
0.11392642462389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575be3 6105b4 |
Quadratic twists by: -3 5 |