Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935h |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-802607858165295 = -1 · 36 · 5 · 74 · 136 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15021,-1542486] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5160:1] |
Generators of the group modulo torsion |
j |
-374819396882203729/802607858165295 |
j-invariant |
L |
2.7626975849534 |
L(r)(E,1)/r! |
Ω |
0.20207782351795 |
Real period |
R |
1.13928779882 |
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 |
77805bb1 129675t1 |
Quadratic twists by: -3 5 |