Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bf |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.1992091462E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6413963,6253668281] |
[a1,a2,a3,a4,a6] |
Generators |
[1449:-2912:1] |
Generators of the group modulo torsion |
j |
-1867596456486858577129/1407493853568000 |
j-invariant |
L |
7.619322994528 |
L(r)(E,1)/r! |
Ω |
0.21286490341772 |
Real period |
R |
1.7897086067721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050bh1 6270h1 |
Quadratic twists by: -3 5 |