Atkin-Lehner |
2+ 3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658f |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
-9934199226406224 = -1 · 24 · 37 · 78 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1223016,-521122608] |
[a1,a2,a3,a4,a6] |
Generators |
[374625940:4960133004:274625] |
Generators of the group modulo torsion |
j |
-35094282113491657/1723251024 |
j-invariant |
L |
5.882946459822 |
L(r)(E,1)/r! |
Ω |
0.071781114757197 |
Real period |
R |
13.659457338284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658bz1 |
Quadratic twists by: -7 |