Atkin-Lehner |
2- 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620k |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-3070206720 = -1 · 28 · 33 · 5 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1032,-13036] |
[a1,a2,a3,a4,a6] |
j |
-17585676288/444185 |
j-invariant |
L |
3.3642768373518 |
L(r)(E,1)/r! |
Ω |
0.42053460465106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46620d1 |
Quadratic twists by: -3 |