Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930cf |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-894300496891200000 = -1 · 29 · 36 · 55 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1276696,-557631271] |
[a1,a2,a3,a4,a6] |
j |
-5703006497280247/22161600000 |
j-invariant |
L |
2.5559312796736 |
L(r)(E,1)/r! |
Ω |
0.070998091102046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790ci1 27930dk1 |
Quadratic twists by: -3 -7 |