Atkin-Lehner |
2+ 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482d |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
680400 |
Modular degree for the optimal curve |
Δ |
-29863077203232 = -1 · 25 · 39 · 76 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-300885,-63651699] |
[a1,a2,a3,a4,a6] |
j |
-25605858405543625/253831968 |
j-invariant |
L |
0.1019231175681 |
L(r)(E,1)/r! |
Ω |
0.10192224436215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418b1 |
Quadratic twists by: -7 |