Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cl |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-924035143680 = -1 · 211 · 37 · 5 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2434,1860] |
[a1,a2,a3,a4,a6] |
Generators |
[76:754:1] |
Generators of the group modulo torsion |
j |
1198108713061/694241280 |
j-invariant |
L |
11.183849928424 |
L(r)(E,1)/r! |
Ω |
0.53038064750053 |
Real period |
R |
0.13692505987286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530t1 |
Quadratic twists by: -11 |