Atkin-Lehner |
2+ 3+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390b |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
3048192 |
Modular degree for the optimal curve |
Δ |
-1.1837973930782E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1107150,1715306580] |
[a1,a2,a3,a4,a6] |
Generators |
[-12444:1251598:27] |
Generators of the group modulo torsion |
j |
-5558780966002168528827/43844347891783352320 |
j-invariant |
L |
3.9752173978101 |
L(r)(E,1)/r! |
Ω |
0.13204031121137 |
Real period |
R |
2.5088407731341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000597 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60390w2 |
Quadratic twists by: -3 |