Atkin-Lehner |
2- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30316b |
Isogeny class |
Conductor |
30316 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
495269217872 = 24 · 112 · 136 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 -4 11+ 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8073,274456] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:561:1] |
Generators of the group modulo torsion |
j |
3637159794688000/30954326117 |
j-invariant |
L |
2.6030168094015 |
L(r)(E,1)/r! |
Ω |
0.93577124003781 |
Real period |
R |
2.7816807121539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121264n1 |
Quadratic twists by: -4 |