Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648q |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
175231798229838672 = 24 · 36 · 75 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38423155,91659389954] |
[a1,a2,a3,a4,a6] |
Generators |
[28282:35739:8] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
5.5326568298542 |
L(r)(E,1)/r! |
Ω |
0.23453068763968 |
Real period |
R |
1.9658610157395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296w1 3192m1 |
Quadratic twists by: -4 -19 |