Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450c |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-1236000000 = -1 · 28 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37100,-2766000] |
[a1,a2,a3,a4,a6] |
Generators |
[103880:2856036:125] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
2.9863370705238 |
L(r)(E,1)/r! |
Ω |
0.17199845732808 |
Real period |
R |
8.6812902770036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600ch1 46350bt1 618g1 |
Quadratic twists by: -4 -3 5 |