Atkin-Lehner |
2- 3- 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370by |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
-2.1802102018439E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,616423,224650227701] |
[a1,a2,a3,a4,a6] |
Generators |
[-18132440121:795697760606:3307949] |
Generators of the group modulo torsion |
j |
35533120493703366071/29906861479339840393500 |
j-invariant |
L |
9.4076553323951 |
L(r)(E,1)/r! |
Ω |
0.053859783164367 |
Real period |
R |
7.2778911422598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790f1 |
Quadratic twists by: -3 |