Atkin-Lehner |
2+ 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65360b |
Isogeny class |
Conductor |
65360 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-15106330000000000 = -1 · 210 · 510 · 19 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -2 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99707,13483994] |
[a1,a2,a3,a4,a6] |
Generators |
[-1599:-118250:27] [163:-1250:1] |
Generators of the group modulo torsion |
j |
-107053458790994244/14752275390625 |
j-invariant |
L |
9.644231356341 |
L(r)(E,1)/r! |
Ω |
0.38124705880844 |
Real period |
R |
0.42160899489887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32680c1 |
Quadratic twists by: -4 |