Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cq |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
371200 |
Modular degree for the optimal curve |
Δ |
-90080461674000 = -1 · 24 · 32 · 53 · 7 · 595 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45703,-3792103] |
[a1,a2,a3,a4,a6] |
Generators |
[352:4699:1] |
Generators of the group modulo torsion |
j |
-84459483043503749/720643693392 |
j-invariant |
L |
12.637069377015 |
L(r)(E,1)/r! |
Ω |
0.1631782189486 |
Real period |
R |
4.8402099319936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950l1 |
Quadratic twists by: 5 |