Atkin-Lehner |
3- 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30303j |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-426847482243 = -1 · 37 · 74 · 133 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 7- -5 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1590,19813] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:31:1] [-46:815:8] |
Generators of the group modulo torsion |
j |
609800192000/585524667 |
j-invariant |
L |
7.172662274348 |
L(r)(E,1)/r! |
Ω |
0.61887634827457 |
Real period |
R |
0.24145447546271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101a1 |
Quadratic twists by: -3 |