Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230c |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-235762053120 = -1 · 212 · 32 · 5 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,587,22957] |
[a1,a2,a3,a4,a6] |
Generators |
[9:166:1] |
Generators of the group modulo torsion |
j |
22309070726951/235762053120 |
j-invariant |
L |
2.3951767589929 |
L(r)(E,1)/r! |
Ω |
0.72891992203975 |
Real period |
R |
0.54765429566219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840cp1 30690bj1 51150cj1 112530br1 |
Quadratic twists by: -4 -3 5 -11 |