Atkin-Lehner |
2- 3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25308b |
Isogeny class |
Conductor |
25308 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-77072881968 = -1 · 24 · 33 · 194 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1008,5165] |
[a1,a2,a3,a4,a6] |
j |
262193283072/178409449 |
j-invariant |
L |
2.7401890360931 |
L(r)(E,1)/r! |
Ω |
0.68504725902331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101232o1 25308a1 |
Quadratic twists by: -4 -3 |