Atkin-Lehner |
2+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30118b |
Isogeny class |
Conductor |
30118 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-33416020750816 = -1 · 25 · 11 · 377 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 11+ -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37904,2863456] |
[a1,a2,a3,a4,a6] |
Generators |
[1038:2219:8] |
Generators of the group modulo torsion |
j |
-2347334289/13024 |
j-invariant |
L |
2.921389884148 |
L(r)(E,1)/r! |
Ω |
0.65903495820754 |
Real period |
R |
2.2164149623365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
814b1 |
Quadratic twists by: 37 |