Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282bn |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
851760 |
Modular degree for the optimal curve |
Δ |
715037507100672 = 213 · 3 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16948709,26855312385] |
[a1,a2,a3,a4,a6] |
j |
1906132924935321313/2531328 |
j-invariant |
L |
4.210117228335 |
L(r)(E,1)/r! |
Ω |
0.32385517141029 |
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 |
90846bg1 30282r1 |
Quadratic twists by: -3 -7 |