Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275q |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
8850515625 = 37 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3717,-86184] |
[a1,a2,a3,a4,a6] |
Generators |
[540:12186:1] |
Generators of the group modulo torsion |
j |
498677257/777 |
j-invariant |
L |
6.427521950858 |
L(r)(E,1)/r! |
Ω |
0.61148608518624 |
Real period |
R |
5.2556567568112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425u1 2331b1 |
Quadratic twists by: -3 5 |