Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690ba |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-5.1623232255093E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34229383,-77522159591] |
[a1,a2,a3,a4,a6] |
Generators |
[5387:510316:1] |
Generators of the group modulo torsion |
j |
378827638483293/440926208000 |
j-invariant |
L |
9.3998276041447 |
L(r)(E,1)/r! |
Ω |
0.041196168439364 |
Real period |
R |
3.4571572003967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690b1 2610b1 |
Quadratic twists by: -3 29 |