Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378j |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-8584744181356 = -1 · 22 · 74 · 197 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26902,-1715393] |
[a1,a2,a3,a4,a6] |
Generators |
[2150:24913:8] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
9.7022523693623 |
L(r)(E,1)/r! |
Ω |
0.18634583979142 |
Real period |
R |
4.3388198614212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35378q1 1862a1 |
Quadratic twists by: -7 -19 |