Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410b |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-69877500 = -1 · 22 · 3 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-178,928] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-14:1] |
Generators of the group modulo torsion |
j |
-472729139/52500 |
j-invariant |
L |
2.7509520189503 |
L(r)(E,1)/r! |
Ω |
1.896981065599 |
Real period |
R |
0.7250868416237 |
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 |
76230ed1 127050hq1 25410bp1 |
Quadratic twists by: -3 5 -11 |