Atkin-Lehner |
2+ 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450p |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4694976 |
Modular degree for the optimal curve |
Δ |
-9.5234428403872E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1203830,-4723156140] |
[a1,a2,a3,a4,a6] |
Generators |
[52437:416477:27] |
Generators of the group modulo torsion |
j |
-7717555351129906309585/380937713615487295488 |
j-invariant |
L |
2.5071440061996 |
L(r)(E,1)/r! |
Ω |
0.056735100569099 |
Real period |
R |
2.008652316551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60450cw1 |
Quadratic twists by: 5 |