Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30100h |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-76358522800 = -1 · 24 · 52 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -5 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,-13295] |
[a1,a2,a3,a4,a6] |
Generators |
[24:7:1] [94:-903:1] |
Generators of the group modulo torsion |
j |
-2211840/190896307 |
j-invariant |
L |
8.0225622900092 |
L(r)(E,1)/r! |
Ω |
0.49715809115972 |
Real period |
R |
0.44824565156003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400w1 30100i1 |
Quadratic twists by: -4 5 |