Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30118c |
Isogeny class |
Conductor |
30118 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-449570262237184 = -1 · 214 · 114 · 374 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 11+ -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1112,1019755] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:633:1] [-35:985:1] |
Generators of the group modulo torsion |
j |
81207711/239878144 |
j-invariant |
L |
10.111170581193 |
L(r)(E,1)/r! |
Ω |
0.41454306800702 |
Real period |
R |
0.29037050101026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30118a1 |
Quadratic twists by: 37 |